Adding more than one iPhone withRemote app

My wife and I recently acquired an Apple TV and I have set it up for the Remote app on my iPhone using my iTunes account. My wife also has an iTunes account which her iPhone is registered on. I know you can add more than one account through the iTunes Store option in the settings but if she wants to use her phone as a remote when I'm not there, will she have to change her account to mine (since my account is on the home-sharing) or can she register the Remote app with her account? I might be missing something but when she opened the Remote app for the first time it didn't find the Apple TV and mentioned her account in the on-screen alert.