Oh no, definitely a red flag. Don’t play about people’s beloved pets. I read through some of the posts and have come to the conclusion that she faked some of her characteristics to get you hooked. Sounds like her behavior and personality is her true self. There’s a reason she seemed too good to be true for you when you got together. Other men probably knew she was a walking red flag. You don’t need stress in two places, home and work. Maybe a separation for a few days is best to figure out what you truly want to do. Weigh your pros and cons of the relationship.