Sorry, I miss read your post. Turkeys generally are pretty hardy, and aren't prone to many diseases beyond blackhead, or cocidiosis that I've read or seen, so you should be okay. Hatchery birds tend to come from clean source's, and I'd assume that's where the feed store got them from.
I generally pen my poults for a few weeks to a few months inside the turkey run during the day, before I can successfully release them. There's always a few hens determined to chase them. Every batch goes differently.
Since you only have a single hen it all depends on her. Tom's generally...