I had one not that long ago, although it didn't involve stars. Rather, Q05-type anomalies. I had my first encounter with them, and saw that there were several clusters of them surprisingly close to each other. Fifteen glowing spheres in total. I quite liked how they looked, so I decided to bring my ship in close to make a bunch of screenshots. I mean, I have decent shields, decent hull: what could possibly go wrong?
Then as I pull up to two anomalies, I suddenly see one of them start to swell up and glow much brighter. Heat warning, and as I look at the heat level, it's skyrocketing. I reflexively hit boost, and thankfully, my Clipper has decent thrusters, so I get away quickly. Then I see the heat peaking around 375% (the boost didn't help with this of course, but it was better than staying and being cooked alive), so I would deploy my heat sink... nothing happens. I look around frantically, going into firing groups to see if I should do it that way, but it's not there.
Of all the times when I brought heat sinks along and didn't end up needing them, I forgot to bring the launcher along when I would have needed it most.
Of course, this was less of a "brown pants" moment and more of a longer "what the fox is going on", but hey, I thought I'd share it here too. I ended up with 26% hull damage and quite a lot of module damage, after all.