A lot says that you are not called a mother because you never born him/her in normal delivery.

This isn't true. As long as you take care and love the child as your own, you are a mother to them, may they come from your womb or not. Giving birth in a ceasarian is surely difficult and painful, I'm just glad that I didn't experience this and had a normal labor. By the way, congratulations on your safe labor. Your child is cute.