Is it bad to hold in diarrhea?

I had like really bad diarrhea awhile ago and I was out biking with a friend, and we found a bathroom but I really didn't want to be embared, so I just held it, then I couldn't hold it I had to sit down hard on my bike seat in order to keep it in, then we biked home (took like an hour)..a painful painful hour..then I got home and as soon as i got off my bike seat...yah...ahem...anyway...is it bad to hold it in like that?