oooooooooo…..tough one…
I think this is where I would bite the bullet and pull the carpet out of the bathroom and put in vinyl or something like that….
Regardless of whether the tanant’s son is allergic to mold or not, the fact is carpet in a bathroom, most people are not going to give crap about taking care of it anyway…So it’s gonna be a problem later down the line anyway when/if the tenant moves out…Chances are it’s not just the carpet, but underneath/etc….
I’d bite the bullet, find a cheap contractor to install vinyl flooring…