Probably it would look a great deal like historical societies with mostly cosmetic differences; keep in mind that as far as TL3 people IRL were concerned magic absolutely existed and there were all manner of minor charms reputed to avert misfortune etc. Having irrefutable proof in the form of people who were sufficiently faerie-touched, or god(s) blessed, or demon haunted or whatever won't really cause most people to act differently, especially if magical Herb Lore or alchemy are also present. Some cultures will be suspicious of magic users, some will respect them, some will just note that some people can do minor cool stuff, good for them. There will be legends and tall tales of people with really powerful magic gifts, but that doesn't mean anyone actually has them.
Check out T Kingfisher's Clocktaur/White Rat setting for a good worked example of what it might look like; wonderworkers, as they're called in the setting, can be more powerful but are always limited and focused, there's limited divine magic, but it matches your specifications fairly closely and would be a good source of inspiration.