Fetching details from the dictionary...
to entrust (a matter) to; to leave to
to abandon oneself to (e.g. pleasure); to yield to (e.g. anger); to devote oneself to
子供の将来を学校に委ねます。
I entrust my child's future to the school.
この仕事を君に委ねたい。
I want to entrust this job to you.
運命に身を委ねて待ちました。
I waited, leaving myself to fate.