IMO pets shouldn't be thought of as equal or set above humans. It makes me cringe when people project human emotions onto pets.
You're limiting yourself by refusing to have your dog sleep downstairs in his own bed. I can't imagine many women, even dog lovers, would be happy to share the bed or room with him.
Dogs smell even if owner is noseblind, your bed will smell of sweaty, oily dog and whatever he's rolled in.
They also lick everything, drool, shed fur, they don't wash their bare bottoms before sitting on a pillow etc. Lots of people find them disgusting and smelly. It's also very unhygienic to let a dog share your bed, think fleas, ticks, worms, all the bacteria and pathogens in their mouths, on their paws. Not very attractive to a potential partner.
I couldn't take a man seriously if he said he was inseparable from his dog, needed dog in his bedroom at night. I'd find it really off-putting.
You basically told the woman she'll always come second to your dog. But your 'fur-baby' isn't a child, he's a pet. Your new girlfriend's needs should come first, and if she isn't comfortable with dog in the bed, it seems very peevish to refuse to put him in another room, then clean the bed down, hoover it, put fresh bedding on, air it well. If you want to have a relationship, the woman needs to feel she's more important than your 'fur-baby'.
I like dogs but not in bedrooms! And who wants to spend 24/7 with someone else's dog, especially getting to know each other!