Welcome!

Eastern. No doubt.

Give her some time before too much handling, let her settle in.

I doubt shell go for the slugs. Try earthworms or nighcrawlers (no trout worms/ red wrigglers) or fish.

Ditch the gloves. Garter snake bites are nothing, and handling her with your hands will help her get used to you and not bite. If she does bite, try not to jerk sways or you'll hurt her teeth.

Good luck, keep us posted!