On the ride home I change back into my riding clothes and spray sunscreen. Just keep hydrated and you will be fine.
You'll adapt in more than one way. You'll get in better shape, so you won't sweat as much or be as tired by the cycling (or tired at all). More importantly, your attitude towards the discomfort will change. Yes, it takes effort and can be uncomfortable, but it's all perfectly acceptable after a while. Seems like a good example of the hedonic treadmill.
I already run about 25 miles per week, but thanks for your concern.
The thing is, I get up at the crack of day so as to do it in coldest weather, I wear appropriate athletic attire, I'm unladen by luggage, and if I feel too tired or something goes wrong then I lose a workout instead of my job.