Maybe women us ally don't like to kiss on dates till the third one Lil.
First of all, you can't just directly kiss a woman. You gotta touch her first. Put your hands softly and gentle on her hips. Don't put your hands around her waist yet, just put your hands on her waist. Make sure she feels your hands on her hips but don't put it on her like you're groping her. Just gentle.
When you kiss, always make eye contact. You can tell if she wants to kiss by looking at her eyes. And slowly kiss her. As you kiss her, you can now slowly put your hands around her waist to bring to her closer.
Remember that movie, Hitch with will smith? go in 80% and then she goes 20%. Maybe she doesn't want a guy to go in all over like that.
If she kinda rejects, then you maybe you messed up. Go on another date if you're willing to make it up.
Good Luck!