Adding stroke to text gives strange result

I'm advising a friend who is creating logo type for a client. She is new to Illustrator, and I'm just beyond beginner status myself, so this is an issue I haven't encountered before.

Her client would like the text to be outlined, but using the stroke feature in the character appearance window creates undesired lines within the characters. (Note the letter "e" on the attached screenshot.)

Any quick fix to this, or is she going to have to use the outline font function and then tweak from there?