Guthrun \g(u)-th-run\ as a girl's name is a variant of Gudrun (Scandinavian), and the meaning of Guthrun is "battle".
The baby name Guthrun sounds like Guthrunn and Guthrunne. Other similar baby names are Bithron, Kathryn, Cathryn, Gudrunn, Gudruna, Gudrin and Gudren.