Alternate explanation:

She was basically a tsundere, and attempting to flirt with you.

She insulted your nose because either:

A) She is very vain and hates the idea of finding another person attractive and thus had to work some random snide comment in there, happened to be your nose.

B) Basically the same, but she was actually particularly fascinated by your nose, she found it quite appealing, and being a vain tsundere, specifically insulted it, because she is jealous of it.