A stray cat is a cat that is tamed and likely once had a loving home–i.e. a tamed domesticated feline. A feral cat, however, is a cat that is not tamed and has not had much interaction with a human in their lifetime, however long that lifespan may be.
Trap-Neuter-Return (TNR) is the humane approach to addressing community cat populations. TNR improves the lives of cats and addresses community concerns: a win-win method!
For a stray cat that is friendly it’s best to find a way to bring her to your local veterinarian to scan for the possibility of a microchip.