Sorry if this exists already. But I'd buy a mobile app that let me view /guildchat for my character who I leave online afk. Surely most people don't leave their toon online like I do, but perhaps daybreak could develop this through the existing offline trader mode. I thought I heard mobile apps was a Daybreak focus anyway. It'd be nice to be able to see guildchat or reply to tells.
While I agree it would be nice I do not see it happening. EQ used to let you have your game emails get forwarded to your RL email but at some point it broke or they just decided to stop supporting it.
Such things already exist if your toon is online. Offline would be completely up to DBG to implement.
