I've not given my bank my email addy and I won't. I have a phone; they can use that.
I don't conduct any official business over the internet, discounting internet ordering by credit card and haven't had a problem so far, however ......
....recently, Gunsmith's half of our American Express card bill came with a gift-card charge of $531 for some unknown woman in Utah. What we found out here is that "disputing the charge" isn't enough, because they "investigate" and come back with, in essence, "we didn't find anything; too bad you have to pay". What one needs to do is report it as fraud, in which case, Amex removes the charge, cancels your card and issues a new one.
Be aware, as well, that the regular charge department and the "gift card" department are two separate entities within the same company and both sets of personnel behave as though one has nothing to do with the other.
I am very disappointed in American Express over this.
Gunsmith's card number got swiped somewhere, somehow, and he now carries an anti-RFID wallet to thwart that sort of theft.
