It's nothing revolutionary but I ask for time to review the feedback before we have any discussion on it - this gives me time to calm down and work through the RSD feelings on my own.
Most of the time this works out just fine but has run into trouble twice - once where the person didn't write down any feedback and also didn't want to write up some notes for me, I got more combative with them than would be useful, (but otoh, I did warn them). The other time was when I hired a professional editor for a dev edit plus one back and forth, but it took me too long to parse the feedback so the back and forth was lackluster.
When I'm actually reviewing feedback, and not in a panicking mood, I interrogate my reactions - if there's feedback I disagree with, can I articulate why I disagree with it? Usually doing so helps me learn what kind of story I'm trying to tell, which I think is a good part of any storytelling process.
But I guess the real tip is that it happens, it sucks, it does get easier.
ETA: it has also made (I think) get good at phrasing feedback with consideration and non-prescriptively too