I don't "think" she's scared of swimming, I know she is. I mean it's pretty obvious, she never want's to go in her pool. I saw a post about how you should just dip their feet in the water and it actually works lol. She just stopped panting. I gave her plenty of shade and also misted her feathers...
I have heard a lot of bad news regarding geese that share the same territory with chickens. I own Chinese Geese and know that they can be aggressive. I advise researching the type of chicken breed you want to get since I don't know much about chickens.
Most geese can be kept for guarding if not all. It just depends on how well they have established as a gosling. For a quiet goose, I would get an Embden.