"Леди дьявола" is "ladies of the devil". I think it's wrong. For example, movie "she-devil" in russian is translated as "дьяволица". So, "male team" is "дьяволы" and female team is "дьяволицы".

"win"(verb)=победить/выиграть
"fight"(verb)=бороться/сражаться
You can note that roots of verbs are the same as nouns above, but suffixes and endings are changed. Beware not to use wrong form of word it heavily depends on context.