I'm not personally familiar with the Exodus Wallet but you should be fine. If the OMG doesn't show up in Exodus, just import your private key in another wallet such as MyEtherWallet (MEW) in order to claim your tokens.
Here's a YouTube video explaining how to do so:
How do you claim your OMG tokens in MEW? I thought they would just be added to your current OMG supply, but they haven't been added to MEW as of 12/30/17.