We've been down this road before. At our farm in Florida years ago we ended up with about 13 cats. They were really wild and catching them to neuter them all made us uneasy about trying that again. They all lived to ripe old ages but stayed wild and never forgave us! But, Luna cooperated, readily taking her meals in the pet carrier we put outside the shop.
This week, Steve rigged a spring loaded closure for the door, and voila! Luna was whisked to the vet for shots, spaying, worming and antibiotics for a wound on her hip.
$200 later, she is back home. We decided to put her in the studio until she recovered a bit more. But, now she is letting me pet her and even pick her up so...maybe she's the new studio cat!