I have a hard time with all of it, so I feel your pain Coopslave.
I don't feel more or less pain for a beautiful animal. To me they're all beautiful.
I thank each and every soul that lives and dies for my gain; at least the ones I raise. I admit I am a bit deadened to the meat I buy at the supermarket and don't think to do it. My bad - those are the ones who need our gratitude most.
I don't think I could have a broodmare raise multiple foals, or a cow that raised a bunch of calves for me, and at the end of their "useful" life, send them off to either auction or abattoir. I would try to dispatch them here at home. It's similar for chickens who have laid their guts out, their asses off, for me, in return for so little.
I lost a hen the other day. She was a battery hell farm rescue, and she laid a big white egg for me ~ 1750 days out of the ~1825 days she lived with me. I have described her here before - she is was the most delighted hen I'd ever witnessed grab a mouse corpse and run FAST AS SHE COULD to some private spot....I laughed and revelled at how wild and chicken-y she was despite her regimented beginnings.... So I was sad, but also a bit happy when I found her laying peacefully, not pecked, just having expired, softly supported by rice hulls in a nest box (work ethic to the end!!).
So I feel your pain Coopslave. They are all worth so much. The life of a livestock/bound-for-food animal is usually short and pretty brutal. Nobody gives a rip, really, whether they had a good, natural life, and whether they died with dignity or at least (at least!!!) not in a state of abject terror and pain.
So the fact that you feel something, anything, for these souls is, in my mind, a small payback for the sacrifice they make and the lot that is theirs'. I think you can hold your head up and know that at least for these birds, they were appreciated, and I'm sure dispatched with care and minimal suffering, and with a small appreciation for their short time on this earth. I guess if you end up with them on your table, you might just take a short moment and say "Thank You" for the fact of them, and next time it might not hit you so hard when you have to do what you did today. The birds you dealt with today are the lucky ones in today's grand scheme, so please try and take some comfort that you provided that for them.