She agreed to our request.

Literal

She [topic-は] our request [to-に] complied.

~に応じる ('respond to, comply with, agree to') is the verb of choice when you want to say someone has gone along with a request, demand, or invitation. The に marks what's being responded to. 我々 is the formal first-person plural — more weighty and group-conscious than 私たち, common in speeches, writing, and group statements. The combination paints a tidy picture of a formal exchange: a collective making a request, an individual agreeing.