Preheat the oven to 400 degrees.
Melt 2 tablespoons of butter in a skillet, add the shallot, garlic, and spinach with a pinch of sea salt and cook over medium heat for 2-3 minutes until the spinach wilts and the garlic and shallot are fragrant. Set this aside to add to the batter later.
In a small mixing bowl, beat the 1/3 cup butter and honey until smooth.
Add the egg and beat until fluffy.
Add the flours, milk, baking powder, and baking soda and blend until well combined.
Use a wooden spoon to fold in the cooked spinach mixture and grated cheese.
Pinch off 6 large or 9-10 small biscuits, rolling each biscuit into a ball with your hands, and then flatting into a disk onto a Silpat or parchment paper lined baking sheet. The batter is tacky/wet but you can form little balls and flatten. You can alternatively just do an uneven "drop" biscuit using the spoon and dropping them onto the baking sheet.
Bake the biscuits at 400 degrees for 12-13 minutes. Cool 5 or so minutes before handling.