Mornings like this were when I'd open the backdoor, tell the dog, "go pee," then close the door and watch her through the window to make sure she did her business before asking to come back inside.
That's when I learned the limit of my love for her.
Of course, I had the advantage of a back yard, which you don't.
I hope you planted yourself by a heating vent when you got back inside.
Ok, yeah, I admit it, while I wouldn't for her to pee in the morning, when it came time for her to go for a walk, she, for sure, got either her big ol' sweater, or her quilted fleece-lined "jacket." I was always vehemently opposed to animals in clothes, and I still am, but her coat was so thin, and she had virtually no fat, and she'd shake like a leaf. I'm sure it didn't hurt I was doing kitten rescue at the time, so I got discounts on some pet stuff, like the doggie sweater and coat.