Can you afford to cut a little slack for a female apprentice, Trumpy? If so, I think you ought to.
On the other hand, I'd feel perfectly justified in *doubting* any kid or female or anyone for that matter, based on age/sex/anything. Maybe she really just wants to mix with the guys. Does she want to *do* electrical work, or *be* an electrician? That's a critical distinction. You can ask her that directly and - because she's female - she'll likely give you a straight answer, like she gave you a straight answer about spiders.
Apart from motive, I believe the main traits of a good electrician are: methodical, and even dogmatic. These are hard to gauge in a phone conversation. Have her follow you out of a room, to see if she turns the light off.
