does it not strike you as strange that a person from out of town is asking you to rent studio space? A person no less who is still studying for her certification? Getting started in personal training is difficult enough but how would a person from out of town even have clients before she actually is a trainer.
By all means, meet her. It may all have a very logical explanation. I follow my gut-feel, and it’s usually right. But ask her all the right questions.