Once a email is leaked or involved in something like that i dont would trust the email anymore and try to get a new one !
Maybe try to get one email for one Exchange and not for many so the chance is less that other things get hacked maybe or some more damage coming !
It is best to to use unique email addresses for each financial account, but I don't believe an email address associated with a financial account makes it unreliable.
There are many people who have publicly facing email addresses, and many of them probably use those same email addresses with some of their financial accounts.
As long as you use completely unique passwords (not password1, password2, password3, and so on) with each account, you should be generally safe.
I received a handful of spam emails, and another handful of scam emails to my throwaway email associated with my BitMex account, but after ignoring all of them, they stopped after a few days. Although many email addresses were leaked, they were only leaked in batches of 1,000 people to those 1,000 people, so the entire world doesn't necessarily know your BitMex email address if it was leaked.