Perhaps give her the space she’s asked for. Respect the fact that, ptsd or not, when a person says “I don’t want you living here anymore”, or “I don’t want to do couples therapy with you anymore”, they’re entitled to have that respected. Not because they have ptsd, but because that’s what they’ve asked for.
You’ve laid a whole lot of responsibility for the breakdown of this relationship on her symptoms.
But reading your OP: you asked for sex, she turned you down (which any and every partner is entitled to do, at any point, and have that decision respected). That conversation went south, and ended with you kicking a table across the room.
I appreciate you really love this person. But she’s asked for space. Which sounds pretty reasonable of her in the circumstances. Not because she has ptsd, but because you kicked a table across the room after being denied sex.
Yes, that is exactly what it boils down to. And that all winds up being on me. I do respect her decision, of course.
She hasn't requested space, simply stated that she did not want to be in a relationship with me, or go to therapy with me. The reason for the emphasis on her symptoms is simply that this is a PTSD forum, and, without her symptoms, this would be a lot simpler. For example, we never would have had the argument in the first place, if not for her flashes of anger.
That being said, while I called out her symptoms in the OP, I also called myself out for being the actual problem -- that I hadn't been as understanding or supportive as I should have been. If not for me attempting to point out my mistakes on the matter, or this not being a trauma-specific forum, there would have been no mention of her symptoms at all.
Hope that clears it up! Thank you for your input, I truly appreciate it.
EDIT: I do want to clarify, though, that, while it does boil down to me getting mad at her for not having sex with me, that is not what I was truly mad at, only the start of the chain for my response. What I was mad at was her tendency to change or make up her mind about such things, and not tell me, and then become annoyed when I didn't know that she had made the decision.