Oh I know what a Brown Recluse looks like --- and feels like!
This looked like an orb spider, but I haven't seen one this size in the US.
I just found a picture of a female WOLF SPIDER that appears similar to this. If it is, I should have just tossed it back into the woods.
Wolf Spider Female - Dorsal View,
Lycosa (Hogna) helluo
I'm in South Carolina, and the spiders can get right BIG here - I think it's because the weather is moderate, so they stand a better chance of surviving winter.
Wolf spider or orb weaver, sounds like you're fine.
Far from a spider expert.
I know that the wolf spiders in Taiwan--their pee, saliva or some such is very toxic.