Preparation
The best method to create a nice fitting window (glass) is with a copy of the inner loop of your window.
Select the window, tab into Edit Mode, then select the inner loop, hit Shift+D to duplicate the vertices and then P to create a new object from the duplicated vertices.
Tab into Object Mode, select the new mesh and tab into Edit Mode again.

Create Window
Now we are going to create the faces for the window. Start at the top and select either 4 vertices or - if you have a vertex in the center - select 5 vertices. Hit F to create a face, then proceed until everything is filled.

If your topmost face is an ngon, go to edge select, select all horizontal edges and subdivide them once. Then, switch to face select mode, select the upper face, hit X and select "Only Faces".
Switch to vertex select mode, and create two faces out of four vertices. Hit W and select "Remove Doubles", in case there are leftovers.

There you go, a perfectly fitting window for your frame, completely made out of quads.
Creating the Window Cavity
Select your window frame, tab into Edit Mode, select the outer loop that connects to the wall. Hit Shift+D to duplicate it, then hit P - "Selection" to create a new object.

Tab into Object Mode, select your Window and hide it. Then select your House, tab into Edit Mode and delete the face that should have the cavity.
Tab into Object Mode, select the window loop, then Shift-select the house and hit Ctrl+J to join both objects.
Tab into Edit Mode and select the two lowest vertices from the window arc and the vertex in the corner at the same side of the house. Hit F to create a face (triangle). Proceed until you have both sides of the arc covered, then close the rest of the gaps.

When you are done you should have a pattern similar to this:

Now you have quads and triangles without the need of adding loopcuts to the rest of your house.