You will and can be a great therapist for some people, probably many people. Don't give up your dreams.
For me it isn't about not seeing my therapist as flawed or having struggles or being human. I know everyone has struggles. I just couldn't handle wanting to take care of him/her. Everyone has pain in some way. Every therapist can't have gone through everything. That doesn't mean they can't relate to their clients and help them heal. Just because they haven't self injured doesn't mean they aren't able to have compassion. I don't understand that logic.