<<Disclaimer: Verify this information before applying it to your situation.>>

Here is a summary of deodorants that are GF and did not seem to cause
irritation or discoloration for other list members.

pure salt crystals
Thai Crystal deodorant mist and Thai stick
Tom's
pure virgin coconut oil
mix of isopropyl and high proof grain alcohol
baking soda
Lanvilin ( available at Health Food Stores)
Kiss My Face Liquid Rock (crystal) deodorant

*Please provide references to back up claims of a product being GF or not GF*