Can a moderator (or ex-moderator) view the registered email address if :
I am a member of the particular SE site of which the moderator is moderating?
I am not a member of the particular SE site of which the moderator is moderating?
Only the active moderators can view your email address. You must be a member of a particular SE site for its moderators to be able to see it.
The former (ex) moderators, and the moderators of other SE communities, have no access to your PII, including your email address.
This question has a big overlap with Who can see what in my profile? and Exactly which users PII do moderators have access to?; however, I think it addresses a couple of details that are not mentioned there.
answered Aug 12 '20 at 18:00
Things visible to ♦ moderators (of the site where your profile belongs to) only: email*and*mods have to click a link to see this information, the act of which is also logged.. If it doesn't, explain why it doesn't. – Greenonline Aug 14 '20 at 3:09