My only trouble with the terms and conditions is the "use of data":
"Personal data which you provide when you enter this competition could be used for future Trek marketing activity."
It doesn't say whether that means sharing data with third parties for marketing purposes. I'd shoot them an email, but they say they will not enter into any correspondence about the competition or its terms and conditions.
A good trick is to have an email account specifically setup up for spam. It'd good for signing up to fast food /restaurants for birthday loyalty stuff. They send me junk all year to an email I don't check and on my birthday I travel the city going from place to place redeeming free food from them all.