Yup a small incident can reveal alot about someone's personality
& his/her inherent trust towards u...
I can understd ur dismay over reaction.... have a better
suggestion, y dun u go & learn how to skate better, and u can
then be in a better position to guide her.
A similar incident actually occured to me when i was a teenager 7-8
years ago.... a gal i liked was the reason i decided to learn
ice-skating so i could hold her hands. I paid for a month long of
beginner class & started my hobby of ice-skating...
Althou i lost contact with her soon after & never got to hold
her hands, but i mastered a sport in the process. And this skill
will still come in handy as i hope for the day where i can hold the
hands of the one i love & skate freely ...
Good luck to u 