Search Results: my crush got a girlfriend

I know there are so many questions on that topic and I don't want to annoy y'all with bringing up that stuff again.. Also, I'm not the misogynistic type who blames women of being shallow or anything, so please be brutally honest! I love women and I have lots of female friends who I really like and care about!

I just wanted to know what your opinions on my situation are.
Since my start at university, I'm into a girl from campus who is taller than me.

I'm 5'7
She's like 5'10

When I walk past her, she sometimes looks at me like she was annoyed by my presence or something. Or maybe that's just paranoia? As far as I know, she's single, but she's always hanging out with all these hot girls and the cool tall guys so I've never felt comfortable talking to her so far. Once I heard her talk to a friend about a party they'd been on the night before, and when her friend told her that in the end she went home with "that hot guy", my crush went all euphoric and said something like:
"He was so tall!"
Does that tell me that height is super important for her? Or should I keep calm and rely on the fact that there are other qualities to impress her with?
I've talked to many of my female friends and they all told me that the female preference for a taller guy is universal and very strong and that I should stick to girls my height or shorter. The chart I put in the description also says that girls are very strict with their partners height!
The problem is that it isn't just her. I've always been into tall girls like 6ft or even more. Maybe that's the reason I always get rejected and never had a girlfriend...
I feel like I don't like her despite of her height but because of her height, like I love her big long body.
Is there any hope for me? Are there girls who can actually fall for someone who is a couple of inches shorter?
Please be honest!

So long story short :
Last month, me and my girl went to a party hosted by one of our friends. She went on and sat with a bunch of her friends and i sat with a bunch of mine. Then, one thing led to another and i regretfully cheated on my girlfriend with a girl i always had a crush on. Now, a month later, i feel like our relationship has become frail as if she realized i am keeping a secret from her. I feel tired of this relationship and i decided to take an action. So the question is :
Should I break up with her and save her the trouble of knowing what i did (which i know will break her heart) or should i just tell her the truth and eventually get dumped by her (same outcome) ?