Looks to me that you'll need the Type 074 7-Day All Game nonresident license. That'll cover you for 7 days and allows you to hunt small game and waterfowl, too.

If you want a doe, you'll also need to purchase a Type 094 WMA Nonquota Big Game/Special Antlerless Seasons license.

You can buy them online by making an account on the TWRA's website: https://license.gooutdoorstennessee.com/Licensing/CustomerLookup.aspx