Por muy mono...
Por muy mono que fuera no iba a permitir que utilizara ese diminutivo y...
someone has just called her by a shortened version of her name that she didn't like and she said...
What a monkey; I'm not going to allow you to use that diminutive and....
or have I got hold of the wrong end of the stick here?
2 Answers
I think it's as Lagartija says but perhaps referring to the girl:
Sweet as she was, ( however sweet she may have been) she was not going to let herself be called by that insulting diminutive version of her name..
Without further context it's a bit hard to say!
Here in Spain mono/a is usually used in a positive approving context. A common example is when a clutch of woman gather round a pram, you'll hear:
¡Que mono es! ...Ay que mona etc.
So |I'm guessing the meaning here is something like
"As nice as it was.... (sounds)and ... I'm not going to accept ...and so on