
I'm a girlie and ride a motorbike. It wasn't something I was particularly keen to do as I had an older brother who used to terrorise me on his. However I love driving and my OH (who rides) was convinced I'd enjoy it, so I went along and did the CBT, and then continued to get my licence - my bike goes away in the winter, but up until last week I was commuting into central london (an 80 mile round trip) on a daily basis.
It's good to hear there is a CBT requirement over there. You will know your daughters personality - will she be timid on the scooter? Drawn into potential silly things (racing from the lights etc?) If she's confident in her ability (but not overconfident), and unlikely to be drawn into racing, showing off etc, then I would feel more comfortable with her doing this.
Girls do tend to be more sensible than boys, but you can never quite account for other stupid people on the road, however if you say that drivers there are more considerate that is obviously a positive. I'm not aware whether the other laws are different, but I'm assuming helmets are a must and as well as gloves, then a decent jacket and boots, it really irritates me when I see ladies on scooters with inappropriate footwear, I saw one lady wearing a rather nice pair of strappy stiletos - lovely but completely wrong for motorcycles (and i'm including scooters in that).
Most accidents I see are due to either the bikers thinking they have a force field and are invincible, or careless drivers (not checking properly before pulling out or changing lanes). If your daughter is sensible, and the other road users are considerate then I see no reason to say no, although I appreciate that won't stop you worrying whenever she goes out on it. I ride more than my OH now, but I still have to phone him when I reach my destination safely!
HTH
T