Do I have a fear of intimacy?

[Vitamin]

I’ve been doing pickup for almost 2 years and I’ve started to get some decent results. I’ve purposely avoided relationships during that time but recently I met a really cool chick. We have great chemistry and similar interests with spirituality and self help. We’ve been dating for about 1.5 months. This was the first girl in awhile that I considered being in a relationship with. Yesterday we have a phone call and she explains how she wants to be exclusive and  I told her I’m open to it. Almost immediately I felt anxiety. And I’m still anxious. My last relationship was 5 years ago.
 

is this anxiety like a fear of intimacy thing? 

[mr_engineer]

I'd say moreso a fear of commitment. 

If you want to find out whether you have a fear of intimacy or not, think about the conversations you have with girls after sex. Are you able to connect with them? Do you feel safe telling them how you're feeling? If yes, you're fine on the intimacy-front. 

Commitment is an entirely different ballgame, though. There, you have to figure out the kind of relationship you want, what role you'd play, what would it take to be competent in that role, and where you currently stand on that front. And, your 'anxiety' could simply be about how she could react if you told her the reality of your level of competence in playing your role in the relationship. What will she do? Will she be a part of your journey of developing competence in relationships, or will she leave for someone better?