The real meaning of "傲嬌"
傲嬌 is a word from Japanese animation and just used in the Internet.

傲娇指的是这样一种性格：
表面上对陌生人/喜欢的人很冷淡或趾高气昂，即展现出“傲”的一面，而一旦关系突破某一好感度/耻度界限后，或者遭遇某种契机(特殊事件)的时候，就会突然变得害羞、娇俏可人，即表现出“娇”的一面。

ref : http://zh.moegirl.org/傲娇
At most time, a person who is 傲嬌, means he/she is 傲 at first and then 嬌 when he/she met someone he/she link.
For your context, I think it's a not standard usage of this word and may just means 傲 only.