What type of spider is this?
Yes, I believe the spider in your photo is a male brown recluse spider, Loxosceles reclusa, family Sicariidae. The overall shape, color, and the fiddle-shaped mark on the carapace is somewhat diagnostic, but to be absolutely sure, I would need to see if it only has 6 eyes, instead of the 8 normally found in most other spiders. I can't determine that from your photo, but all the other characteristics fit the brown recluse. Tennessee is also within the normal range for this species. I have included a link below to a webpage with more information about this spider.