I (m33) need help meeting my partners (f34) emotional needs, am I not doing enough or is she expecting too much from me?

Dating girlfriend for 2 years and in this time we've had many arguments over my failure to meet her emotional needs. She wants deep conversations (convo's), emotional intimacy and greater vulnerability. I want to be able to do this but am I wrong to feel that she should also be doing something to help meet her own needs?

She wants me to ask more about her life, her dreams etc. yet she has rarely asked me anything about my life or offered up much about herself. I can't quite understand how she can have such needs yet makes so little effort to meet them herself?

She rarely initiates or schedules convos to discuss deep topics yet regularly asks me to do so and scolds me when I don't. She asked me to google questions (q's) to ask her which I had done but she did not reciprocate. The convo's felt unnatural so I stopped. I am someone who prefers learning about my partner naturally; overtime and as convo's occur.

Early in our relationship I asked if she could help me and show me examples of the kind of convo's she wanted, maybe initiate a few and ask me q's similar to those that she wanted to be asked. She rejected this and said she shouldn't have to teach me and that this was her need so I should do it.

My girlfriend has experienced past trauma and this has led her to be distrustful and emotionally insecure, she is aggressive in arguments, sometimes uses verbal abuse and has on one occasion threatened to punch me. I have previously suggested couples counselling to discuss our issues with a professional but she told me our relationship wasn't important enough. I am emotionally exhausted and am finding it difficult to want to have further deep convo's and share vulnerabilty because I don't feel we have a safe communicative environment.

I (m33) need help meeting my partners (f34) emotional needs, am I not doing enough or is she expecting too much from me?
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