Its just really normal to think of that if there no key- no coins would really be stolen but saying that they do have the access on our emails isnt really good at all since they can possibly make use of it and the other valuable informations inside it.Just like mine my main email do have lots of transactions when it comes to money and being used mainly for email verifications on my online web wallet which it can somehow be very dangerous.
This is a another subject. Just don't use free shitty emails like gmail,yahoo,hotmail etc. If someone "hack" your email you will loose it. (maybe in not all cases but overall)
Nowadays domains and hosting are cheap. The best option is to buy a domain, hosting and create your own email address.
So even if you password leaks you can change your password within a minutes. Easy.