Measuring while the diode is soldered in a circuit (any circuit) might be misleading, but it might give you a hint. So she removes the suspicious diode, and measures it again outside of the circuit. The bad diode is short-circuited (the instrument needle goes up - short - in both directions), while for the new (good) diode, the needle hoes up only in one direction.
I didn't watch the entire video, only 1-2 minutes after minute 14 you commented about. Seems OK.
Modern DMM have a diode-test mode, in which they show the voltage drop (about 0.6...0.7V for a Si diode). Older analog AVO-meters, like the one in the video, does not have a dedicated diode-test mode. For that tipe of instrument, you would use the ohm-meter mode, and measure the diode resistance in both directions. When the minus is to the bar line sign (the cathode), you will get low resistance. With the +(red) on the cathode (line sign) you get high (infinite) resistance in the diode.
Of course, you have to measure the diode in an open circuit (desolder the diode, or lift at least one terminal from the PCB before measureing).
Another thing to take into account, for analog AVO-meters like the one in the video, zero ohms is in the right hand sign of the scale, so the needle doesn't move for high (infinite) resistance, and it goes up (to the right of the scale) for low resistance. Else said, infinite ohms is on the left side of the scale, zero ohms is on the right side (maxim) of the scale.
