。
It took her some time to understand the situation.
Literal
She [topic-は] situation [object-を] understanding [for-のに] some time [subject-が] took.
~のに時間がかかる ('it takes time to do X') is a standard pattern: の nominalizes the action, に marks it as the purpose, and 時間がかかる ('time is consumed') provides the frame. 多少の (たしょうの, 'some, a certain amount of') is a modest quantifier — not much, but not trivial either.