Hi, I'd like to help you with your question.
From what you said, it sounds like your husband is putting his daughter before you in the marriage. The dog is an example of that. It also sounds like your husband is allowing his daughter to disrespect you, which is going to interfere with your ability to parent this child or any other child in the relationship.
Your husband needs to start recognizing you as equal to him in the hierarchy of the family. Although he has other children he brought into the marriage with you, he is responsible for backing you as the other parent and expecting his children to respect you, just as you need to do the same for him if you have children you brought in from other relationships.
Couples counseling would greatly help your situation. It might be the case that your husband needs to hear from someone else about how to handle the complexity of step-parenting. Setting rules you both agree on then following them up is a difficult task, one a counselor could help you both develop and practice. If your husband will not go with you, please go yourself. You need support to help you deal with the situation.
All the best to you,
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THANK YOU ! HOWEVER, DO I ALLOW THE DOG TO STAY , OR PUT MY FOOT DOWN AND SAY THAT IT MUST GO . REMEMBER I COULD NOT HAVE A DOG .
DO YOU THINK THAT KEEPING THE DOG IS THE RIGHT THING TO DO , OR HAVE HER FIND AMOTHER HOME FOR IT . I KNOW AND UNDERSTAND THAT THIS IS
ONLY AN OPIOIN
I think it depends on what you want to do. Do you feel ok keeping the dog? If you are alright with it, then keep it. Let your husband know how you feel about it and tell him you letting the dog stay. Then gently insist on the counseling.
I hope this helps!