There's two main issues in the OP that I'd like to address.
1) Feeling other people deserve better.
You do not control other people and their desires and wishes, and thus are not responsible for those desires or wishes and any consequences which result from them there-on-in. You do not decide who finds you attractive and not. Your own opinion of your appearance is not the only opinion of your appearance possible. In the hypothetical situation the other person has a definite interest in you. Rejecting them because you've decided what is and is not 'good for them' in relation to 'society's' opinion of you is ludicrous. You do not control their opinion. You do not control general public opinion. Your only gauge of what their opinion is is if they tell you, and even then, it's not up to you to try to alter or deter that opinion. People are responsible for their own lives. Having these feelings of responsibility for others is not helpful unless they are your children or other dependants.
2) Feeling you're not worthy in and of yourself.
You are a person with psychological, emotional and physical aspects. The body is a tool. Yes, we might complain about this tool and have the right to do so because it is ours - for example, one with crayons may envy someone with pencils. We are allowed to have our own opinion about ourselves; it is conductive to life. However, one can create a masterpiece with crayons if they posses enough skill. Who you are is carried about by your body, it is not, in fact, the other way around. 'You do not have a soul, you ARE a soul. You have a body'. There are not many things in life we can control, but our perceptions of the reality surrounding us is fortunately one of those rare few elements. Happiness is a choice we make, unless there are underlying biological issues which tamper with our physiological structures and affect our psyches. One can choose to be happy with or without clear skin.
We can't control the world. We can't control other people. We can't always control what happens to us. But we can control who we are, what we make of what we are given, how we think.