My Girl is TOO Hot!

I have a dilemma that seems silly even to me. I’ve been dating the most beautiful girl I’ve ever seen. No, she really, really is. Her personality is also really great. She’s sweet and smart and thoughtful. I’m totally smitten. I don’t know how I landed her, but we’ve been seeing each other for about 2 months since we met through friends at a party. But as much as people envy my luck at having such arm candy, it’s kind of hell. Everyone in the world is competition now. She gets hit on constantly, by both women and men, even right in front of me. She’s good about it and politely shoos them away. But these people eyeball me like, “who’s THIS piece of crap?” It’s incredibly stressful and I feel as though at any second I might end up in a fight with one of them or dropped for someone more attractive. And I don’t want to seem too clingy or jealous to her, especially not this early. What am I supposed to do?