Okay, I wondered whether this was a serious thread or not at first, and responded accordingly early on, but since it is being given serious consideration I will weigh in with a more serious answer. My family are dog people, not cat people. The dog that I received as a puppy when I was only about 4 years old looms large in my memory, as often as the case when a dog grows up with a kid. Since that time I have had many dogs and liked plenty of them but never got overly attached. That was until an ankle biting Yorkie mix showed up in our back door on Thanksgiving years ago. My wife fed it and the rest was history. I always had a great contempt for small anklebiting house dogs, yet we lived in a peaceful coexistence for the first couple of years, mainly because my small ALAYBOY was so in love with him. He had that Napoleon complex going on and was very curmudgeonly. He grew up with my boy. During the pandemic I was still working for almost a year and a half he grew close to me in a way that's hard to explain. To make a long story short, which is too late now

, he's 12 years old and starting to show signs of his age and everybody in our family knows it's going to be a hard one when he goes.
Having said all of that, I can see in a situation where you discover an illness that appears all of the sudden on Sunday morning before church and that requires emergency treatment, but barring some scenario like that, if we are just talking about a pet dying the day before or the morning of church, we would place him in a dignified location and as soon as we return from church we would make provisions to take care of his burial and/or remains. No need to disrupt worship of the Lord for those kinds of appointments. And that doesn't take away from what would definitely be a deep and profound sorrow for the circumstances of our family's loss.