She asked him not to go there.

Literal

She [topic-は] he [to-に] there [to-に] [not-go-ないで] want [quotative-と] requested.

The pattern ~ないでほしい combines the negative te-form ~ないで with 欲しい to express 'want (someone) not to do.' The whole proposition is reported speech via と + 頼む ('ask, request'). The two に particles serve different roles: 彼に marks the addressee (the one being asked); そこに marks the destination of the not-going.