I also wear small gloves, bordering on extra small gloves. Every place I've ever been employed or volunteered carried S, M, L and XL. For me having small (or extra smalls if i'm lucky) is important because gloves that are too large get caught, or bunch up when I'm starting IVs or doing other invasive procedures.
When I worked as a personal care assistant they only supplied one size of gloves, medium or large, I can't remember. In that setting, it wasn't a big deal since I wasn't doing anything that required my gloves being an exact right fit. For example, when changing sheets on a bed, or handling dirty laundry. Even now if I'm wiping down the cot after a call I'll just grab whatever size is closest.