Anyone tried a short term rental between tenants?

[Mike Palmer]

I have a situation where tenants are moving out and the new tenants are not moving in for about 3 weeks. I had an applicant that I would feel comfortable renting to but we offered it to someone else. She is relocating here for a new job and I just had a thought that rather than turn her away, what about offering her a short term rental for say 2 weeks? 

It would basically just be a place to sleep while she started her new job and found a permanent place to live, but would cover the income gap while waiting for the new tenants. If I gave her 2 weeks I would still have a few days/a week or so to clean the place and have it ready for the next tenant. Is this a good idea? Bad idea? Any thoughts? Would I use the same lease agreement I do for 'long term' tenants? Anything else I should consider?