She said she wanted to be forgiven for doing something blameworthy.

Literal

She [topic-は] blamed-will-be [like-ような] thing [object-を] did [object-を] forgive [want-ほしい] [quotative-と] said.

非難されるようなことをした — a relative clause modifying こと. ~てほしい expresses a request for someone else's action.