It may be best just to clarify, at the very least. Better to know that she's ignoring you intentionally and not because she's too prideful to ask what your message says.

[Most mercenaries were pretty blasé about being illiterate, but no one would willingly admit a weakness - Hayame seemed like that type, anyways. But, Byleth felt like the point had been made, and whatever happened from this point on depended on Claude and Hayame. He hoped they settled their differences, but at the same time, he knew people were fickle with their hearts, and lifelong friendships could be broken over what appeared to be the smallest of slights from the outside.]

I hope this conversation helped. In truth, I'd wanted to bring this up for a while- ah, not your relationship with Hayame, but your habit of deflecting and hiding things. You already know so much about me from your Byleth... but I'm realising I know so little about you.