In addition to the approach from moonboots here's a technique that seems not to be widely known.
- In edge select mode, select any of the diagonal edges on the face of the e.
- select linked. This will select all of the edges on the face, except the perimeter.
- dissolve edges. This will leave yo with an awful surface selected that seems to have no relationship to anything.
- delete edges. This will leave you with the face completely empty.
The next step depends on whether the letter has holes, as the lower case E does. You need to create faces that leave you with no holes. In the case of the E, making a face out of the cross bar works:
For most fonts, this will allow you to select the edge loop that makes up the rest of the empty face.
Make that into a face. Now you have ugly shading.
Select all of the faces that make up the surface of the character and inset them.
This creates a face loop that controls the shading problem.