In, like, almost anything else, we'd assume this was her consciously being like, "She's lying and it's soured my appetite", but, for this, it's clearly a superpower, lmao.
pretty sure she isn't trusting her. she's just playing her cards close to her chest and not pursuing a direct confrontation at this time, especially because right now her wife is operating incognito and she doesn't want to blow that for her.
it's a shame because akane was just trying to be helpful and had no clue how bad things already were and how much her words would cause everything to spiral out of control.