I agree...much of this was being new to your whole place, & new to you. I think that as she trusts you more & is used to being around you, it won't be an
issue at all for her to be in the room with you. Just don't let your guard down, I still don't think she'll STAY afraid of snakes once this becomes 'her' territory.
I have 2 dogs: bigger one I've had for 13 years (she was half-grown when I got her from a shelter). She has only known my house full of snakes, & she pays
no attention to them. She knows I hold them & care for them. I let her sniff their sheds...no big interest. But my other dog (a terrier mix) I got about 5 years
ago, & when he gets the scent of snake (like from a shed skin) he acts both afraid & a little too interested. I love him but I wouldn't trust him very far...
And they are both squirrel-chasers in the yard...my bigger dog has caught & killed several.I can't speak for cats, but my dogs respect me as their leader &
know that the snakes are 'mine'...it's different when we're not around though.
It's fine to love our dogs, cats (or kids for that matter), but unrealistic to think they are 100% perfect angels, lol. It's up to us to protect them from each other
as needed.