Yes, they can. I consider myself very tall and I head a broken heart by a short man. Short men often complain that they aren't picked and overlooked by all women, but when it comes to love short men can break a heart of a tall woman too.
If you are short man, remember that not only women can break your heart, but any short man can break a heart of any woman, even a tall woman. Tall women seem strong and confident because of their size, tall women seem beautiful, but they are as sensitive as you are if she really cares about you.
Tall women can fall in love with a short guy and they can have very broken heart.
I had a broken heart over a short men in my life. Tall men used to treat me very nicely, but this short man that I happened to like I couldn't trust him and couldn't relax with him, he did have an upper hand in this relationship.
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Tall women can be very sensitive despite their looks and extreme height. They can love short men, they do want short men, but depends on personality, it can good or bad relationship.
Girls like affection and attention. All women want to be treated nicely and admired. Relationship between tall amazon woman and a short man is usually like any relationship with other women. Tall women can be intimidating and dominant, but also short women can be very intimidating and very dominant. So, her personality won't always depend on how she actually looks.
You could meet the shortest young girl who would be the most dominant type you have ever met, but you can also meet the tallest woman who is the most submissive type you met.
Relationship takes course based on personality rather than looks, that's why tall women, just like short men and women, can have a broken heart too.
Having a broken heart is very common to most people. When one of them is more committed, more emotionally invested and more in love with the other person, will more likely be with broken heart.