I'm going to tell my husband to stop caring obsessively for our deaf daughter
Why would you want your husband to stop caring for your daughter?
I'm tired of hearing her cry and it's stressing me out.
Your daughter needs special attention as she's deaf so obviously your husband will care obsessively. How can you expect your husband not care for her. In fact you also should care for her as much as your he does.
I know that, but it's too stressful.
Even if it is stressful, you are her parents. It is your responsibility to ensure that your daughter is safe and cared for.