Just a few thoughts running through my head after watching this scene:
I can’t help thinking that Emma got the wrong impression with this conversation. I don’t think she understood what Regina is trying to say.
When I look at this conversation, it doesn’t seem to me that Regina is being bitchy or trying to start a fight. Regina is blunt to the point of being cruel and is wonderfully sarcastic. We know what she looks like when she is trying to antagonise someone. And I just didn’t see that here.
I think she was telling Emma to have back-up out of concern for her. Regina was right in saying that Emma had a few close calls and Regina can’t do anything about it. I think she was just making sure someone is looking out for her.
In the third Gif we can see her being more defensive and her attitude comes through because caring about someone and expressing it is hard for her. It’s defence mechanism. When she mocks the ‘saviour’ title, I think it’s to remind Emma that’s she’s not invincible.
And she looks hurt when Emma makes her comment about being bitter. That was kind of out of place for Emma. But the fact that Regina didn’t respond or make some kind of comment back seems to back-up my argument- because when has Regina ever back off from the fight or not had to have the last word.
So I think Emma interpreted this completely wrong.