Interesting, I noticed that about the character with the few episodes I've seen. Not a regular watcher because I honestly don't "get" the humor, but it's a decent original show. While most TV shows don't seem to feature good female characters experiencing puberty in original or relate-able ways, some films can definitely surprise.
One of my favorite horror movies, Ginger snaps, I think has an interesting exploration. The two leads are sisters who pride themselves in being "different", and are thoroughly disgusted by the idea of puberty. When Ginger begins her "time", her and her sister are unfortunately attacked by a werewollf resulting in Ginger being infected. What follows is a werewolf transformation process metaphor for a cautionary of sexual awakening that, at least to me, seems to suggest that repressing puberty is impossible and not horrifying unless you don't learn to control your urges.
Quick aside, any self respecting horror fan needs to see this movie. Seriously, it has just practical effects, body-horror, and balances its' dark comedy with the atmospheric and horrifying elements very well.