After wiping my head in wudu if in some way or another the water that is on my right hand has mixed with with the water of my face e.g. my fingers and part of my palm of my hand have made accidental contact with the skin of my face but I know that the other half of my palm of my hand has not mixed with the water of my face, can I wipe my foot with half of the palm of my hand (the half that was not mixed with the water of the face) or do I have to do a new wudu?

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There is no problem in doing so, you do not need to do your wudhu again