Hello all, first time ENTJ here

. I would request that you all refrained from killing me with fire if you can for a bit. I realize that what I am about to say is going to be interpreted by many of you as being cold and harsh, but there is no way to avoid this so let me just start by apologizing.
1) I'm assuming you were under a lot of stress so you did that "unreasonable emotional breakdown/explosion" thing that runs in the INFJ family. If this is the case then she has blacklisted you. Try to understand, to her mind you represent an emotional problem. ENTJs ONLY understand analysis. We don't understand feelings (I mean I read some of the things on this page and it blew my mind.) An emotional problem is no different from any other to us, we try to solve it through cold, hard calculation. Eventually an ENTJ will reach a point in their life where they will either accept that they are VERY bad with emotions (vast majority) and will stay as far away as possible from emotional problems. The very small percentage of us left try to indulge in this whole "emotional complexity" world (where I'm at now.) To her you are an emotional problem that she would rather not waste her time trying to deal with because she doesn't know how from past experience. If reason didn't work with you before then it won't work next time around.
2) I would strongly urge you to not pursue this further because (me being an ENTJ) sees a lot of effort and a fairly slim chance of success with a "real" future relationship. But if you insist I will provide you with as accurate and comprehensive a solution as I know how.
3) Earn back your respect. Yes I know, respect should be awarded to all people of all ages because that's the way it works in your head. Not in ours. Respect is a measure or worth to us. We respect things based on our evaluation of what they are worth to us personally, or what they are worth to the rest of humanity. For example if we rewind a few hundred years, an ENTJ would respect a slave that did his job well FAR more than he would respect a prince who didn't contribute to society. You have lost your respect and you have to earn it back by proving that (a) you are a contributor to society. (b) you can benefit the ENTJ using your position or your intellect. (c) you can hold your own in an argument. Option (c) I would recommend to almost anyone EXCEPT for an INFJ. You guys make great points, but take things WAY too personal for the discussion to really go anywhere. However option c is definitely the easiest out of the options so here's a few pointers.
the goal of the argument is not to hurt anyone or prove anything, it's to develop a theory and help the ENTJ grow intellectually and hone their people-skills (although you guys might disagree that we even have people skills).
-because the aim is purely analytical, nothing... I mean NOTHING is to be taken personally in a debate. Taking things personally clouds judgment and leads to a weaker case and it shows.
- you have to be good. Don't talk about something unless you are convinced of it and you have a solid groundwork upon which to build a case. Weak base means weak structure and guess what? Yup, it shows.
How to maintain the relationship after respect is obtained:
Most of the work must be done on the ENTJs side, but they have to be convinced that it is worthwhile work. Basically the way a successful relationship works is the ENTJ respects an invisible (to them) emotional boundary with the INFJ. If the ENTJ ever slips and crosses this emotional line (which is inevitable and realistically, often) it then falls upon the INFJ to NOT TAKE IT PERSONAL. The ENTJ is not saying things to hurt you. They don't know what will hurt you and what won't. They have a rough idea but not a finite line. If they cross it you must understand they are not intentionally trying to hurt you, rather they are plundering blindly through the murky waters of the emotional world (which don't forget they're doing for you in the first place.)
5) how do you convince the ENTJ to respect an emotional boundary? Show them that it is worth their while. Show them what a relationship with you has to offer, and then point them towards studying their own personality type. ENTJ is a great personality type to have. We are extremely successful at management and education and our emotional world entails about 5 separate emotions and life is simple and grand. However any ENTJ that does a bit of research as well as some self-reflecting will realize their major weakness. Emotional health. If we doing attend to our emotional well-being it'll potentially cause us major problems down the line. The only option we have is to have some emotionally charged individuals surround us (ones that we can actually stand) and learn from them. Point them towards this and prove that you are that tolerable emotionally-charged individual and then explain that in order for the relationship to work there must be a boundary.
That is as good advice as I know how to give. I hope it helps in aiding your escape, recovery, or indulgence.
---Dommy
Oh I completely forgot to address your last question, why is conversation awful. From the INFJs perspective I imagine it's awful. From the ENTJs perspective awful doesn't even come remotely close to it. It's because you're pitting 2 (steriotypically) extremely smart people who have complete opposite outlooks on life. INFJs value people, ENTJs value anything that gets the job done efficiently. We are analysts and you are poets. We want to mount leadership and raise humanity to new heights and you would like to do that but aren't really going to do it because you're unwilling to make the cold, calculations that it takes to reach there. The way I see it, ENTJs become leaders faster than you can blink, and we make pretty good leaders. INFJs don't get into leadership positions because they can't get there. If they were leaders they wouldn't be very good ones. But one thing they definitely do good in, is keeping the ENTJ leader from becoming a power-hungry dictator or a government that tries to control the internet. It's almost like INFJ's fight the good fight, while ENTJs just fight. We're better at fighting, but much worse at gearing it. The worst for us is when we know we are talking to an INFJ. We seem to have a tendency of making you guys break down emotionally, so having a discussion of substance with you is extremely difficult because we have to walk on eggshells and we don't delve too far into uncharted waters. We don't really know what will set you off so we would rather just not talk.