You accept and consign the job. You are going to be entrusted with this property for the winter. Don't go into room 237.

受託 is a formal word that means taking on a task someone has entrusted to you. You'll often see it in business contexts to talk about a company taking on work from another, like 業務を受託する (to undertake contract work). In legal contexts, it can also refer to being entrusted with physical items or money.

This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.