I can't speak on issues with the cat's health, but get this waterproof blanket and leave it over the bed when unattended
Waterproof Blanket Extra Large for Stadium/Picnic/Camping/Beach and Outdoor Blanket for Couch/Sofa/Bed - All Weather Camping Blanket with Rainproof/Windproof Backing Warm Activities https://www.amazon.com/dp/B0769GW8T7/ref=cm_sw_r_apan_glt_fabc_B3J9158B3M84P9245Y67
Large, cheap, waterproof, foil lined and faced with gray fluffy fabric: https://www.amazon.com/TEEHOME-Waterproof-Blanket-Stadium-Camping/dp/B0769GW8T7?ref_=ast_sto_dp . Comes in handy in the winter at football games too (cold/rain).