She left to pursue graduate education, and received both her MSc (1968) and PhD (1970) from the University of Wisconsin, majoring in extension education. From 1969-1971, she was first an Instructor, then Assistant Professor of Agricultural and Exension Education at the University of Wisconsin.
She returned to the U of S in July 1971 as Associate Professor in Extension and took a leave in 1975 to work on a CIDA-funded project in Ghana.
Moss was named Dean of the College of Home Economics in 1982, and became Associate Vice-president (Academic) in 1986 and served as Acting Vice-president (Academic) from 1990-1991.
In August 2000 the Centre for Teaching Effectiveness was renamed The Gwenna Moss Teaching & Learning Centre.