Just ex-sert the center with M E M', then move the U layer whichever way you need it (U2 = 180 degrees, figure it out lol) and then M E' M' to insert it.
I like doing the T perm twice for a 180 degree rotation of the U face centre, otherwise i do the T perm first on the U face for a 90 degree rotation of that centre, and with suitable setup moves, i perform the undo (T perm) on another face to rotate the centre of that face by 90 degrees