I don't understand how your putting your daughter's name on your account would affect her credit. Unless it creates too much family strife, I'd leave it as is. It is a good idea to address these issues as you have begun. However, I would also recommend naming your daughter as your agent under a durable power of attorney and health care proxy so that she can do more than handle that one account should the time come. This also would have no effect on her credit rating.