|A very enjoyable story. You have a good sense of pacing and character, and I enjoyed the conversations. All in all, a very good read. I love the character of the king, especially lines such as "Reconnoiter!" scoffed the king. "We want to kill the ogre, not write a book about him." Both clever and draws a clear picture we can all imagine of what it is to deal with a king past his prime and without many resources. His frustration at not being able to simply command an army works very well.
I have a few suggestions which you might consider, though of course it is your story to keep or revise as you see fit.
There are a few places where the tone of the story is interrupted by a turn of phrase or word that pulls the reader out. An example is Sir Connor was a forthright person with a poor ability to dissimulate his views. Even though he said nothing, therefore, it was evident from his anxious half-smile... This feels like the point-of-view is shifting around, and could more cleanly be something as simple as Connor shifted uneasily in his chair. Shorter, less convoluted, and allowing the focus to stay on the storyteller instead of Connor.
You have the king admittedly quietly. and it should be admitted.
Finally, I am a bit torn about whether it works to have you skip from Connor making the argument to the scene where it has worked. Obviously, the reader can fill in the blanks, but it might work a bit better if your showed the ogre pondering the notion. Instead, you have the odd little bit about Connor berating himself for considering drawing his sword, which pulls attention away from the (successful) gambit he tried.
Anyway, a nice bit of writing. Thanks for sharing it. Write on!