My elderly cat has got tired of chasing marauders off himself, which he is actually still good at, and has adopted a young stray to do the menial work!
I am not kidding. After chasing every and all cats that tried to move in after his brother's death, Trold has now found a youngster whom he likes.
"The waif" started as "outdoor cat" living under the rowing boat that was upended for the winter, or in the workshop when the weather was really wet or cold. He is now allowed (our cat's decision) into the house during the day-time and has long been allowed to help himself to anything left on Trold's plate after 10 p.m. (But NOT before that hour!)
Could you persuade Molly to hire a bodyguard? It costs a little more in cat food, but saves on vet's bills.
Otherwise buy the biggest water pistol you can find, or even better have a hosepipe handy! Cold water will do the intruder no harm and might just get the message across.
How would Molly feel about a tape-recording of a very angry cat playing near the garden fence? Or one of a growling dog`?
And do follow the advice about abscesses, although they are more common in my experience following rat bites than cat bites.