My girlfriend is a model and I want to introduce her as one.
Is she really a model?
Totally. She's beautiful, charming and intelligent
It is good to be proud of your gf's beauty. You should make sure it is ok with her first before telling others.
Fuck no, she's too cool and will be embarrassed.
Well if she would be too embarrassed then don't introduce her as it, but if she says yes then it is fine to show off a person. You're allowed to find your significant other beautiful and want everyone to know it.