Definitely respect her wishes. If you feel comfortable enough you are thinking of inviting them, do what we all do with someone we think we may like. Meet them in public a few times until you all get to know each other. Once she is comfortable, then it will be ok.
My kids were terrified of the Dis meets at first. They would grill me on who I was meeting, where, was I being careful, etc, etc. I had to tell them what I did to make sure no one was following me too. They were/are not too comfortable even though they have been to a few now.