1) 10 degrees is a pretty paltry slope and, as such, I don't foresee any problems.
2) The steel deck probably needs to nominally do some diaphragming to keep everything from sliding downslope prior to the concrete setting up.
3) There is indeed an axial demand on the studs that would be additive, on one side, to the flexural demand. That said, for a beam that is not a drag strut or chord, I would deem that additional axial demand to be so small relative to the flexural demand as to not warrant explicit checking.
4) For more serious slopes, I'd probably be paying attention to:
a) Is it practical to pour the concrete at such slopes.
b) Has deflection induced concrete ponding been checked using the true, sloped length of the beam.
I feel as thought the "serious slope" limit might be more in the neighborhood of 30 degrees.