Girl wants to meet for drinks but... I don't really drink WHAT SHOULD I DO?

I agree with Joe. She may not have known what else to say. Like "Let's meet for BINGO!" That just doesn't cut it. Maybe all the men she has met so far has wanted to meet for drinks and she thinks that's par for the course. Go and just be you! If she is a drinker....walk away. Have fun man!