it means to make them feel those butterflies in the stomach.
As i understand it to be smitten is that you are attracted to someone.
smittenpast participle of smite (Verb)
Strike with a firm blow.
Defeat or conquer (a people or land).
To get caught cheating and smile about it...
Being awestruck. Having a crush, feeling totally fantastic by every word said or being near to the person.
conquistador. claim their love. make them yours.
It's an old hillbilly term for "falling in love".