charge, saddle, burden -- (impose a task upon, assign a responsibility to; "He charged her with cleaning up all the files over the weekend")
Overview of adj burdened
The adj burdened has 2 senses
burdened -- (bearing a heavy burden of work or difficulties or responsibilities; "she always felt burdened by the load of paper work")
burdened, heavy-laden, loaded down -- (bearing a physically heavy weight or load; "tree limbs burdened with ice"; "a heavy-laden cart"; "loaded down with packages")