A method of producing a well fluid includes securing a motor to a string of outer tubing and lowering the outer tubing and motor into the well. A rotary pump is secured to a string of inner tubing and lowered into the outer tubing. The pump stabs into cooperative engagement with the motor. Supplying power to the motor rotates the pump, causing well fluid to flow into the outer tubing to an intake of the pump, which pumps the well fluid through the inner tubing to an upper end of the well. Removing the well fluid allows gas to flow up an annulus surrounding the outer tubing to the upper end of the well.