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Not if it's IMAP. I have found :apple:Watch Mail notifications hit and miss but the Mail is there.
 
Well if u have ur iPhone on and active when u receive any notification like email, it won't push to watch as u have an active device viewing the notification. It's a part of apple's strategy to conserve battery on the watch. Which i feel is good and perfect
 
If you're using Gmail in a browser, the notification will go to both the Watch and the phone. Not sure about other mail types, though.
 
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