you should never give your password to any 1, and blizz will never ask for it in a email..
also if your still not feeling like your acount is that safe, you can always download the battle.net authenticator app for your smart phone. to give your acount a lil extra boost of protection. It can be found at your battle.net acount screen, just click on the security tab on the top of the screen.
Also forwarding any suspicious emails to blizzard designated email address for hacked emails helps.
you can also create a ticket if you have questions.
Just figured this little bit of info might be helpfull to some. sentse beta was announced recently and people checking their emails daily. so idk just be carefull.