When a woman avoids eye contact, it's often nervous attraction, not dislike. The speaker describes feeling breathless and tongue-tied around someone she's attracted to, and warns against misreading that avoidance as hostility.
Number 1 is that she can't look you in the eye. This is definitely one, as I look back, I have been guilty of for sure. Where you're like, "I can't look at his eyes. They give me butterflies. I can't breathe. I can't think straight. I have no idea what I'm saying." And so she'll just avoid eye contact. However, it's easy to see why this could translate for many people. They're like, "Wow, she can't even look me in the eye. She must hate me." So if you felt that way, it's totally understandable. But there's a good chance that it's simply because she can't look you in the eye for very long. That's a pretty normal human reaction. So if you're in that situation, don't automatically assume that it's because she hates you. It may actually be because you're super hot.
