She probably wanted to offer her services as an exterminator, but after inspecting your house for signs of rodents, concluded that you had no need for pest control.I had a stray black cat that wanted to get inside my house twice, in two separate summers. Each time, she just came in, explored and meowed frequently until I opened the kitchen door again for her to leave. Then I never saw her again after that second summer. Cat distribution system didn't consider me worthy, and perhaps she found the right person/family.
Damn I wanted to do that 😅