Fetching details from the dictionary...
standoffishly; primly; prickly; irritably; aloofly
pungently (of a smell); acridly; sharply
long and pointed (e.g. of a nose)
popping (of ears); clearing (of sinuses)
つんとした態度で無視された。
I was ignored with a standoffish attitude.
彼女はつんと澄ました顔をした。
She put on a prim expression.
つんと鼻を鳴らして通り過ぎた。
They sniffed and walked past.