I don't feel comfortable when people are looking at me.
I don't like being looked at, it makes me feel uncomfortable.
TKさんの英文は、次のように言うと自然な感じになりますよ。
ーI don't feel comfortable when people are looking at me.
「人に見られるのは心地よくない」
ーI don't like being looked at, it makes me feel uncomfortable.
「見られるのは嫌いだ、 心地悪く感じる」
to feel uncomfortable で「不快に感じる・窮屈な思いをする」
ご参考まで!