Her question wasn't unreasonable. There were a myriad of ways that he could solve the problem (and he was not bothered at all by her use of the word you; he did not doubt that he would be solving this problem without any assistance or aid from his wife). He could have found another nurse — though probably not on as short a notice as they would require, since the girl was supposedly lingering in a cottage uncared for as they spoke. He could send a house elf to look after her, he supposed. House elves were more or less incapable of blackmail, but there was the problem of finding one that could actually passably raise a child, which would be difficult. None of the ones current in the house would do.
Or there was another way to solve the problem. Tiberius didn't answer Antigone's question, but instead asked, "Which one do you want?"
Or there was another way to solve the problem. Tiberius didn't answer Antigone's question, but instead asked, "Which one do you want?"