I sweat a lot, too, and I've always seen it as a sign of fitness. I am a big "head sweater," which has been a serious issue for me, as someone who has horrible hair to begin with. But, I like my sweat. It means I am working. I've come to find out that there are a significant number of women who dislike sweating intensely! One of my friends, who is very overweight, won't even go for a more vigorous walk with me, because she will sweat. Another friend (this was about 10 years ago) came on a 5 mile mile shady walk with me on a summer day, when it was warm. She brought a bath towel draped around her neck, so she "wouldn't feel the sweat." It was embarrassing. My DH was working from home that day, and asked her why the hell she had a "shmatta wrapped around her neck?"
However, I couldn't do yoga in a room that had no AC. It has taken me a long to acclimate to riding in weather above 75- 80 degrees and any time I've ran, has been spring or fall. I almost fainted in my own house, because I ran on the treadmill and then did a vigorous set of functional fitness exercises, without putting on the room AC. My exercise room is up in the loft of my house, which is really the attic. We have central AC, but we had to add a room air conditioner up there, as it just does not cool down. I think my heat intolerance is from all of those years of living in AZ, where everything is climate controlled and I never exercised outside. But, I still love to sweat!