You should remove the lipstick before you do Wudu, so that there will be nothing left that could prevent the water from reaching the skin, but if the colour or a trace of grease is left, that does not matter.

The pillars of wudu are: washing the face, washing the arms up to the elbows, wiping the head, washing the feet up to the ankles, washing these parts in order, doing these actions consecutively.