Anxiety around women is normal for everyone, it just shows in different people in different ways.
Just keep confidence in yourself and know that you will eventually overcome your shyness, and even if you are a little shy, when women are ready to settle down, there are many who are perfectly happy to have a shy man in their life.
While it may be hard now, things can and will get better. All you can do is be patient and keep working on your anxiety!