Is bedroom carpet cleaned a reasonable request for tenant/roommate?

[Jon K.]

I have a prospective tenant/roommate wanting to move in. Prospective tenant asked that their bedroom be steam cleaned as pet dander.

I have a dog. (Yes... despite all my complaining about pets.)
[b]
Is this a reasonable tenant request, or a sign of a picky tenant?[/b]

I'm going month to month with this tenant. It seems like a reasonable request that just their room be cleaned. The carpets are older, and I do have a pet.

In this tenant's favor: they own their own house (but rent it out), they have a job, clean car, clean background, they love the location, decently dressed, polite, they got the house in a divorce, and want a place quick because they decided not to live with who they were dating so soon. I will require a money order since it's such a quick move in.