Hello pmsmay, Welcome to HealingWell. So sorry that you had the need to find us though but am happy you did fine us.
Each transplant center has different criteria for being listed. Sandi is right......in most it is not a deal breaker to have liver cancer. Also if your husband has treatment for the cancer and it shrinks it maybe they will reconsider him for the list again. In my husband's I believe they were more lenient as if I am not mistaking it was no one lesion over 2.5 or more than three of them that added up to over 2.5. I got to find my old post to know for sure what it was.
Definitely get a second opinion if possible or google transplant centers and find out which ones maybe be a option for your husband and find out what their criteria is to be listed. Just because one turns down your husband ...doesn't mean that all the rest will.
Ask them lots of questions. Don't them intimidate you. This is your husband's life at stake.
Hang in there pmsmay. It's a hard journey but we are here for you......thoughts and prayers........