Something I can see potentially happening in the future is the Long King sponsoring Timmer's surgical training, widening the rift between Timmer and Sore Morel.
Something like that would fit perfectly with the Long King's image of being a 'modern man'. It would win him respect from Timmer and the regiment by ensuring that Timmer gets the training they've always wanted and the regiment gets a more skilled surgeon.
It would fit in with the way that the Long King recruited the regiment by essentially just showing up and telling the regiment that something 'good' was going to happen to them.
It's also something the Long King might already know Timmer wants. He arrived at the exact time when Timmer would have been most likely to tell a stranger that maybe they could have saved their sister, if they'd had the training they'd asked for, but Morel hadn't allowed it.