A picture speaks a 1000 words,
But as Christa P said if it was installed correctly it shouldn’t need any.
The shut off valve on a frost free hydrant is at the bottom of the pipe, the “stand pipe”. It is a spring loaded plunger right above where the water supply line attaches. It HAS to be installed below the areas “frost line” the level below grade that does not freeze. When the hydrant is turned off the valve at the bottom closes and opens a drain hole at the bottom so the water in the stand pipe drains out and into the ground.
Two things can cause it to freeze up. Especially when constant ambient temps have been well below freezing. If installed correctly by setting the bottom in gravel and adding more gravel so it is above the drain hole before back filling with dirt it will drain quickly. If this part is not done correctly it can and does drain slowly. If the ambient temps have been in the single digits or there abouts. The slow draining water can and does freeze in the stand pipe before it drains out. If this is the case you will not be able to pull up the handle because of the frozen water in the stand pipe.
The other reason is because it was not installed deep enough below the frost line. If the handle can be pulled up but no water most likely the water supply line has a frozen clot somewhere in the line. Usually at the fitting that water supply line is attached to at the bottom of the hydrant.
Wrapping heat tape around the exposed stand pipe may or may not thaw a frozen stand pipe. Depends on where it is freezing up. It usually freezes up a few inches below grade/ground level. Heat tape may not heat the pipe deep enough to melt the freeze clot. Using an electric heat gun and or propane torch maybe the only solution. Or pouring a type of “anti-freeze” into the pipe. I forget the name of the stuff.
IMO and experience having had to dig out and or spend a lot of time unfreezing a frozen hydrant is to wrap the bottom of the hydrant and up the stand pipe with heat tape when being installed, just in case we get a long string of really cold weather.
As to your situation you should be able to off the straps and pull the pipe away from the wall enough to wrap it. As to the use of an extension cord. Make sure to use a 12 gauge cord that is just long enough to plug the tape into the outlet without a lot of excess cord. The cord’s ends/plugs should be designed for high current draw. In other words do not use a 50’ cord for a 20’ run. Quality heat tapes have a thermostat so it can be left plugged in. So the pipe will be warm when it is used in the mornings/days after a hard freeze. Plugging it in after the pipe has frozen may not do much if anything. But better than nothing I suppose.