Bring milk to a low simmer in a small saucepan, remove from heat and place chamomile tea bags in milk.
Let chamomile infuse milk for 10 minutes, remove tea bags from milk, gently pressing the milk back into the saucepan by using a spoon the squeeze teabag against the side of pan before removing.
Preheat oven to 375 degrees Fahrenheit. Coat a 10 inch deep dish pie pan with butter.
Add the 4 eggs and 3/4 sugar to bowl and beat until incorporated and frothy.
Add the chamomile milk and vanilla and continue beating.
Stir in flour and salt and mix, making sure there are no lumps.
Slice and pit apricots, chopping into 1 inch pieces.
Layer into bottom of deep dish pie pan, covering the bottom completely.
Pour batter over the apricots and bake for 45 minutes. It is ready when a knife comes out clean when testing. The clafoutis will deflate a bit upon cooling.
Allow to cool slightly, sprinkle with powdered sugar over top and serve. This is also scrumptious with a dollop of whipped cream.