Man there more positive things than negative why you should approach girls, talk with them, and invite them to do stuff. Just for future some pretty girls who been living in big cities do get a lot of these coffee invitations. Its not very fun and more confident guys would ask them out for drinks or glass of wine at their place.
But for start coffee is good. Good way how to start interacting with the girls you like. Its important that you dont rejections to affect you and keep talking to girls to develop yourself socially with girls. Right now you lack confidence that comes from experience with girls. Have to start somewhere. What could help you is some fun inspiring SimplePickup videos on youtube. Especially their older videos like 3 years old where they go and talk with random stranger girls. They have even forum that is all about picking up girls. You could find more info there.
Good luck [MENTION=57363]shadower4[/MENTION] ! Take an action !
Doubt kills more dreams than failure ever will