"I don't believe that I would be able to forget about my biases when treating a client, but I would have to learn how to put the clients needs first to be able to help them."

Nicely put, Gabriela, around how to separate our feelings from our task. Sometimes it is tempting to transfer a client when we strongly disagree. There are times when you can and it may be appropriate to transfer a client. However, disagreeing with a client's decisions is not usually a good-enough reason to transfer them. For example, there are some clients whose behavior every counselor will disagree with. Who serves that client? As a counselor (or nurse, or helper in general) you will encounter many types of people, some whom you enjoy working with, others you may despise. Most somewhere in between. 

There is even a ethical argument to be made for making sure that a person gets the help they need, whether we like them or not. Often in an organization, you have minimal control over the clients you get, unless there is a severe situation (e.g. a client who cannot have a female counselor, etc). 

What other options are there besides transferring a client with whom you disagree morally? How might the interaction and conflict be a growing opportunity for the client? For you?