Hello Tiffany.
In regards to the burning sensation, did you recently shave any chest hair or apply any type of topical NBE herb to your areolas?
Yes, the montgomery glands are temperature sensitive, much like how the skin develops goose bumps when you're cold. It probably was the sudden change in temperature: taking a hot shower to being naked in a room that's cold compared to the hot shower that caused your montgomery glands to surface.
My areolas right now are puffy and at a relaxed state. I can see the outlines of the montgomery glands but they're barely protruding. If I was to go outside where it's cold out, it's very likely my areolas will harden, shrink in diameter and my montgomery glands will become much more distinct.
If you're really curious about this and don't mind experiencing some pain, put an ice cube on your areolas and watch them change.