Has a lot of potential
What kept me from playing more than 4 levels were 2 things:
1. The learning curve is waaay too steep, in any case the game gets too hard too fast. To avoid that I'd suggest maybe do more levels but I'm just thinking out loud.
2. It's ok and logical to have the character slowly slide down a wall. Problem is when it's either hard to notice that the character actually IS or that the wall collision detection is too big, resulting in the character always starting to slide down every wall you come across. Then again, this wouldn't be much of a problem if it happened only on the later levels. My suggestion would be to add some kind of dust/sand/small object to fall from the wall whenever the girl is sliding.
Also, I may be wrong but I got the impression there is nothing you can do to stop the girl from sliding said wall, except waiting a few seconds, which is a bad idea in a game where you have to move fast. Ignore this paragraph if there IS something a player can do.