If my partner would not accept my dog, my feelings for him would immediately go down the drain. When I met my hubby I had a dog and he genuinely liked him from the very start, which was attractive to me. The dog also loved him and he (dog) was not a social butterfly. Dogs know....so take your cues from your dog. She may be small but her instincts are huge.
Don't look back, just take your dog and keep walking.
Deja, GSD, sable WL, female, born 11 / 2013
Cam, Rough Collie, sable, male, born 8/2015