Is there a free plug-in that exports meshes, but does not divide each face into lots of triangles?

Preferably to a format that can be imported into Wings3D.

Yeah, I just selected the unnecessary face and pressed the delete key.

Before, I was trying to use the eraser tool, which only worked on edges.

So I'm trying to connect two faces with the pencil tool. (Red lines were added in MS Paint)

Trying to connect the lines in front results in this:

Is there any way to fix this