Does the fluid feel/smell like oil or transmission fluid?
From your description it sounds more like oil to me. Being on the right side (near the oil filter and alternator) it could be 1.) residual oil from a recent oil change since it's impossible to change the filter without some spillage over the engine mount, 2.) the filter gasket, 3.) a valve cover leak, 4.) a camshaft or crank seal.
Like blk_on_blk suggested, you may have to clean everything up and keep a close eye on things to pinpoint the leak,
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