It is strongly discouraged to secure your password on your email address.
Who does that these days? It's like you wrote your wallet details on paper and on your table.
Always make sure you keep your password safe offline, away from any internet access.
That's the mistake we make. I saved most of my passwords on my browser, and one of the Addons installed on the browser did something bullshit. After that, my several accounts were accessed from Russian IP. After that, I changed all my passwords. The hacker stole around $20 from one of my casino accounts which were not significant. But, The problem is; he was able to access my account. Since then, I don't save passwords on my browser anymore.