Shedding all over my fabric - or, gasp, a quilt I was currently working on - would be enough for me. Unless of course, it was my adorable grand-pups.
I think I might graciously allow the pups during the visit, BUT ONLY if she first of all agrees to pay for any possible damage they might do. Then, charge her an exorbitant amount for any cleaning/damage/stains that did not come out, etc.