Sauté the peeled and finely diced shallot in a little oil. Add the peas and stock and cook in a closed saucepan over a low heat for 5 minutes.
Puree together with the mint. Possibly add a little more broth and season with salt, pepper and lemon juice. If you want the puree to be very fine, you can pass it through a sieve.
Clean the king oyster mushrooms, wipe them with damp kitchen paper and cut into 2 cm thick slices. Heat the oil in a pan, fry the mushrooms until golden brown on both sides and season with salt and pepper. Remove the pan from the heat and let the king oyster mushrooms cook for another 2 minutes in the remaining heat.
Spread the pea and mint puree on two plates, place the mushroom slices on top and garnish with sugar snap peas, cress and flower petals.