Continuity mistake: Before the gang head over to the high school basement at the beginning of the episode, Dawn's hair is straight with curly ends. But once they're in the basement her hair is suddenly curled all over.
Plot hole: When Andrew wakes up, Anya mentions the First posing as Warren to make him kill Jonathan. Jonathan's body hasn't been found and the only time Andrew became ready to talk, he was knocked unconscious. They shouldn't have a clue about Jonathan's murder.
Answer: She has superpowers, ergo fast movement. The reason she outruns him so easily in "Touched" is that she stops trying to actually fight him and just dodges instead.
Shay