Apologies for the rude tone. I was mis-reading your comment as saying it's possible to fully avoid negative emotions around this type of situation, but going back I see that wasn't what you said.

Yes, I agree with everything you've written here.

The only nuance I'd add is that feeling guilt (or sadness, or helplessness) is not necessarily bad—emotions are valuable signals that can be mined for insight. I think the problem comes when we start to dwell on negative emotions and then internalize them as somehow representative of the state of the universe. Don't try to suppress or change the emotion, feel it, acknowledge it, then take a breath and decide on a course of action that you think will lead to the best outcome.