ケン, つか.う, つか.い, づか.い, つか.わす, や.る
dispatch, despatch, send, give, donate, do, undertake
JLPT1 G7 S13 F664
The relevant oracle bone form of the right-hand element# combines 㠯 as described in 官 (wrapped objects) + a pair of hands → pass/send a wrapped object to someone else. 遣 is the right-hand element# + 辵 movement (for emphasis/clarification) → *send/dispatch* → *expend*; *spend*; *present*. Also, *manipulate* (← manipulate in sending/dispatching). Also, *consume* (← consume what is sent one).
[Full Kanji Etymology List]