The kobold notices this displeasure, and takes a moment to explain - her kind of magic is dangerous to learn; a new mage's first several spells will be miscasts, and even once they start getting the hang of casting properly, they'll get occasional miscasts for a while. A miscast spell is sometimes dangerous in and of itself, and the mage who cast it will die if it's not broken within a day of starting to act strange. This isn't very dangerous, if the new mage is thoughtful about what they do while they're learning - don't cast on people, don't cast on anything that's difficult to break, keep close track of anything you've cast on and not broken yet - but she still doesn't want to take the risk; if it does go bad, it's very bad indeed.

Anyway, her staying in the carriage while Kiri gets out should work fine.