1. She is strong.
From remaining graceful when she is not in a position of power, to not letting the constant sexist remarks made by many men in the series get to her, Dany is strong, both internally and externally. She also is the epitome of a woman who does not need a man.
2. She is beautiful.
Her beautiful complexion of white-blonde hair and bright blue eyes make her hard to miss when she walks anywhere
3. She surrounds herself with good people (for the most part).
Besides the fact that she had to exile Ser Jorah twice from her city (and he faithfully kept coming back) Dany wastes no time picking who is close in her inner circle. My personal favorite is Grey Worm.
4. Her maternal tendencies.
Although she is barely a young adult, Dany has warmed many hearts with her compassion towards her children (dragons) and cares for them wholeheartedly, as they do the same for their mother. (Even if it involves breathing fire at hundreds of people at once).
5. She's the breaker of chains.
The mere fact that Dany hates the idea of slavery in these cities is enough for most people, but when she constantly goes out of her way to literally take off slaves' chains, she has earned not just her title of Queen, but everyone's respect (including mine).
6. She literally lit the Khal and all of his men on fire.
Probably being one of the best scenes in season six, Dany has no time for men and their BS. The fact that she lit all of these high-ranking officials on fire and walked out naked was incredible. I loved that the Dothraki all knelt to her as well.
7. She's merciful.
We all know Daenerys hates the idea of killing men and women. She would rather have people work off their debts than just have their throats cut. One big example of her mercy is when she only exiled Ser Jorah instead of killing him for betraying her.