English"hurts" sounds better than "is painful"

"my nose hurts"

"My nose really hurts" seems valid to me...

This is just Chinglish. Native speakers do not use the word "painful" in this way. Correct translations would be "My nose hurts" and "My nose is sore".

医生！医生！

我的脑很疼！

Iv never experienced this

"My nose is very painful" rejected...

the so called correct solution sounds like complete nonsense in my ears .the verb to hurt has an active meaning.it does not mean to experience pain.a rhinoceros may hurt you with its big nose.