When you are taking in paying guests you can't expect them to look after your pets @Yvette339
and the majority of guests booking a whole listing expect privacy so wouldn't want a stranger coming in once a day , and to have to sort out cat food/cat litter etc
if you want to set up an STR business look at options for your cat to stay with family/friends
as an animal lover I would never risk leaving my pet with strangers .