Nothing personal, they’re just training to be ready for anything in their future missions.

In his childhood Gil’s been told not to fight girls and it’s left a huge impact on his standards later, because now it’s hard for him to take a fight with a woman even if it’s one of the poachers that they have to neutralize.
Sooo Axoter offered Gil some help with training (ABSOLUTELY not because she’s a bit angry at him and want to kick him in the face, no-no //joking//) :)