is it normal not to accept my husband's child

unfortunately the vows we took applied to both of us, so we both needed to be honest before and when taking those vows, then we would not have such problems now. When i chose to marry him, it was because i was open and honest long before we got married about how i feel about his child and her mother, and he did not have any problem with that because he felt the same that time, that was before his sudden change of heart, which I also understand because it is his blood at the end of the day but not mine, hence i dont feel anything for this child. Even so, he made his choise to marry me and now he expects me to just change tune and accept staying with his child without even tlaking to me first, atleast to say something like, even though a lot has happened between me and the mother of this child, nut i have come to accept that it was not the child's fault as a result i have come to accept her, than to just tell me how unhappy it makes him that he cannot talk about his child and how he wants to stay with his child, how about if he maybe started by asking for the child to visit first or him visiting her first, so that atleast they get to know each other first before having this rediculuous expectation for the child that he, himself does not know. i feel betrayed, to me now it looks like he was not honest when taking those vows as he had something hanging to him but was not honest enough to express how he feels and now he is starting to tell me how this makes him unhappy that he cannot get any support from me when it comes to his child, still i dont know what kind of support he must be refering to.