{hito wo shinjiteru} me janai-n-dakedo!! 人を信じてる目じゃないんだけど!!
[Those] aren't eyes [of someone that is] {believing in people}, though!!
{gomi wo miru} me-tsuki nanda kedo kono ko!! ゴミを見る目つきなんだけどこの娘!!
(dislocation.)
kono ko wa {gomi wo miru} me-tsuki nanda kedo!! この娘はゴミを見る目つきなんだけど!!
As for this girl, [she has] a look-in-her-eyes [that] {looks at trash}!!
This girl has a trash-seeing expression,!!
This girl's eyes are looking a trash!!