Suggested by Destroyer Lara Croft is a strong fighter with a good balance of hand to hand skills and weapon proficiency. Madeline hasn’t really learned how to fight yet at her age which does put her at a considerable disadvantage. She simply won’t be able to block or parry Lara’s attacks and that will lead to her defeat. She just won’t be able to stand up to the seasoned adventurer. Lara Croft wins.
DReager1.com 
…Why would this happen anyway? Madeline is not someone who has a habit of beating up random people. And Lara is a dedicated treasure hunter who is highly dedicated to her work; children like Madeline would be beneath her. Exactly what reason would they have to fight? None.
Maybe Madeline dropped her hat on Lara and the hunter took it personally. I’m sure Lara would take it easy on the kid and will try to take her down without hurting her. As you said, they’re in different leagues
I agree with jhg195.
It is a tragic fight for sure