I arrived at a wedding shower on my bike a few years ago. It was a very hot day, and it was about 10 miles away. I knew I would get sweaty, but I was sharing a car with the then-DH and he had something to do that involved the car, so I didn't have access to a car. I brought my party clothes separately and just quietly cooled down and changed in the bathroom (the party was at someone's house). I got a few raised eyebrows, but I didn't let it bother me. In fact, cycling became the topic of conversation. The bride is a triathlete, so she thought it was cool.