My cat came home with a limp and obvious sore paw. there's no wound, what should I do?

he will be fine. as long as he has no open cuts. a cats paws are super sensitive and if theres something sticky caught between his toes (just like sap) then he'd not want to walk on it and be cleaning it. it simply feels wrong to him. but make sure he doesnt ingest any of the peroxide it will make him throw up. other than that simply moneter him and all should be well