Should they give up their daughter’s cat?

Should they give up their daughter’s cat?

“My daughter is 8 years old and my boyfriend and I got her a cat for her birthday. I haven’t been around many cats as I’m a dog lover, but I’ve learned I’m quite allergic to cats. I’ve been itchy and had problems with asthma since getting her. My boyfriend suggests giving her up since she’s only had her for a month, but I feel like that would be cruel to my daughter. What should we do?”