A duck found us. Chicken friendly?

I posted this on the duck forum so it is cross-posted hoping to get the most responses! I feel bad for this little girl!

A few days ago amid below to just about freezing temps a black duck found her way to our yard. She was timid at first but has recently let me pick her up and pet her without much a fuss. She wasn't afraid of my kids or my husband on his atv. We have given her some food, water, and straw to nest in under our porch which seems to be where she likes hiding out. I called a couple of our neighbors who also have farm animals and no one has claimed her.

We feel she is someone's domestic duck who got out/got an itch to fly and can't get back home. She has no bands on her to identify her. Is it possible we can put her in the pen with our chickens where there is covered nesting for her at night and a water supply she can share? I do not want her to go into the coop/run but just the fenced in area of our yard. We have 7 hens of varying breeds all under 2 years old.

Almost forgot to include she does not seem injured at all. Her legs work fine and she flaps her wings just fine to readjust her feathers after I hold her.

Thanks for any advice.

Dia