Is hormonal imbalance possible with partial hysterectomy having only both overies that can cause severe blackheah/, acne issues, oily hair and skin a?

Not usually: Unless the remaining ovaries are pathologically producing excess androgens(male hormone) from an enclosed tumor, then no. The ovaries will continue to function post op the same as pre-op unless their vascular connection is compromised during surgery. If there is a hormonal imbalance, the source could be with other endocrine organs such as the adrenal gland.