I'm new to commuting and my biggest concern is my personal hygiene after a 15 mile ride to work. I work in an ER (with many women) and I don't want to be offensive for my 12 hr shift

Unfortunately I do not have access to our OR's showers (that'd be great) so I can't shower when I get to work. I can work up a sweat shoveling snow in a T-shirt and jeans so, a 15 mile ride usually makes me rather sweaty. What do you guys do? I figured some extra deodorant and maybe some powder but, I'm open for suggestions. On behalf of my co-workers.... Thanks