from doing a bit of research - it looks like yours is a high shank, but it has the throat plate to the left and not towards the front.
I don't know if the above monogrammer is short of high shank. I know the Singer one is slant, and I've got a Greist one that is marked "low shank" but so far I've not been able to find out what the Kenmore is - and didn't figure I wanted to buy one to find out. The hard part with that style monogrammer is getting the cams, and the ones in the later Kenmore sets (black cases) do not fit.