If you turn the valve 90 degrees it will point up. However ,the distances between the valves ,and the distance from the wall to the valves ,is unlikely to bring them to a position where they will align exactly to whatever towel radiator you buy. Almost inevitable plumbing will need altering .
Before you do this, you should be aware that a towel warmer will only emit about one third of the heat that a single radiator of the same size does, and that is reduced down to almost nothing when it is covered with fluffy insulating towels. Reducing the heat source in a bathroom by more than two thirds can make a huge difference to the comfort level. So, unless your bathroom is super warm, (ie you don't need to have the existing radiator on much) then you should be looking at installing another radiator as well as a towel warmer.
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