She couldn't believe that her husband had passed away.

Literal

She [topic-は] husband [subject-が] passed-away [that-ということ] [subject-が] couldn't-believe.

~ということが信じられなかった — the entire clause 夫が亡くなったということ is nominalized by ということ and made the subject of 信じられない ('can't believe'). A layered construction.