If you go through the relationship section of this forum you will see so many stories like this; girls needing space, staying in "platonic" relations with exes and so on. The beginnings of the stories are different but the end is always the same.

Girls wont tell you things straight forward this is their way of soft-nexting - by dragging guys and giving you false hopes in one way or another. The solution is to go completely NC until you are over her, and this definitely happens with time.

A girl who keeps her options open like this is not as perfect as you say obviously. Concentrate on her bad sides and think of them until they replace the fake image of her you created