it does depend because I would like to initiate as well but it would be a nice change for her to initiate when she wants to as well instead of just giving little hints and such. its a nice feeling to know you are wanted in that way.
I thought girls always initiate by giving the guys signals they are available. :) Initiating is fine, as long as you pace yourself and don't get too excited about having a relationship with him. For example, after they agree to go out on a date, it's a bad idea to call them all the time, because you want to include them in everything that's going on in your life. It's almost always a bad idea right out of the gate.