Gila Woodpecker is wa-a-ay out of range
No doubt about it; DH and I had many minutes to study the details. She spent a lot of time at the goldfinch feeder - once she figured out how to balance on the perches. She had watched the Downy at the feeder [who always uses the bottom left perch and sits neatly while nibbling] and the Gila's first attempts to balance on one perch were hilarious; she now uses two perchs in a sideways spraddle-legged grip.
Note that her official home is in very southern Arizona into Mexico. That's a long way for her to fly back.
Here is a link that might be useful: Gila Woodpecker