Odyssa \o-dyssa, od(ys)-sa\ as a girl's name is a variant of Odessa (Greek), and the meaning of Odyssa is "angry man".
The baby name Odyssa sounds like Odyssia and Odissa. Other similar baby names are Orssa, Audessa, Dessa, Fidessa, Odella, Odela, Odelia, Odilia, Oda, Odetta, Odila, Odolia, Oleisa, Olisa, Oleesa, Orsa, Otylia, Tassa, Tessa and Tossa.