I haven't received any remarks. Yet.
The only time there was a near-remark was when my sister rolled her eyes when I wanted to go to a restaurant where I can bring Tatiana. I bring Tatiana everywhere I go. She's family.
As I written, Tatiana is family to me (as are my human relatives). In my heart, I view her that way, and it shows in my action.
Thankfully, my husband feels the same way about her, so there are no remarks from him.
I think if I ever receive any critical remarks from family members, I would say, "Tatiana is family, too."
Also, my friends seem to understand that about Tatiana. They ask about her.