If love and sex are not mutually exclusive, then if you find yourself checking out a guy at the bar and are sexually attracted to him, then you love him, byt your standard definition.
No, you need to understand what "mutually exclusive" means, and more importantly, what "not mutually exclusive" means.
"not mutually exclusive" in this context, would mean that you can have love and no sexual feelings, love AND sexual feelings, and also sexual feelings but no love.