Someone wants to add my fic to a collection?

This might sound like a silly question because I have been on AO3 for many years. However this morning I received an email to say that someone wanted to add my fic to a collection.

I post to the anonymous collection sometimes but obviously that is something I have done and have control over. If I accept and add my fic to someone else’s collection are they able to edit/delete my fic from their end as moderators?

Sorry if this basic knowledge, i just haven’t come across this before.