If not doing ritual hand washing, is it okay to wash the left hand first? if not and one did it, is there anything that needs to be done?
Similar to getting dressed, that we give respect to the right hand and right side by giving it precedence,, while washing ourselves we also give precedence to the right hand etc. One of the reasons for this halacha is perhaps because according to kabbalah the right side (which is usually the stronger side is the “side that represents Hashem’s attribute of kindness, whereas the left side represents the side of justice and punishment. When we show preference for the right side we are in a way reminding ourselves that the dominant attribute of Hashem is his kindness. If you already washed yourself there is nothing that has to be done.
Mishna Berura 2-7.