For me this would to be commanded… I lose that sexual urge once I’ve finished. Not that it’s likely that I’ll be doing this any time soon.
Does she want you to... I mean there isn't "one correct" thing to do in every situation... other than communicate.
I suggest that you try to do whatever you think will please Her. I am sure that She will direct you if She wants otherwise.
Why don’t you ask her? It’s not for any of us to tell you what you should or should not be doing within the confines of your relationship.
These rules are up to her. Here it varies, there are few standing rules for me regarding eating my own cum. Each event I'm told if I'm going to or not. You'll need to have her set her expectations for you
It’s her decision but I think it should be a requirement for every woman to receive clean up services.