She knew that while Superman was the goodiest of goody goodies, he would likely lack the skills and techniques of a great lover like his counterpart Ultraman did in her universe. Owlman's training against seduction had allowed him to become a masterful lover, which she guessed Batman would also likely have as Owlman's counterpart.
'However, he is also the one less likely to be broken by my wiles. It means I will need more help with this, some trick of some kind. But it will be so much more fun to break him to my will. Besides, there is just something about Batman which makes him so appealing to my bad girl side.
I will also might need a disguise if there is a counterpart to me on this world, at least until I know what she's like.' thought Superwoman as she called in a few favours from her favors bank account, trying to use the least amount of favors to get tech and magic to aid her in her scheme.