That's something I've never done. I have found homes for strays that I couldn't keep, but they were kept indoors. Otherwise, they came back to me. If you had decided to move her, and she was your own cat, you would have to keep her indoors for weeks. However, since she would be going to another outdoor colony, I couldn't possibly predict what she will do. It's "iffy." She would have to bond with the lady who feeds the colony and fit in with the colony. We know the propensity of a cat to return to the area she considers home.
Evidently, she's a stray. Is she spayed? She's a lovely looking cat. Have you tried finding a home or no-kill shelter for her? She's not a true feral, and you would be giving her the gift of a wonderful life.
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A dog, I have always said, is prose; a cat is a poem. ~Jean Burden