I picture a shy quiet girl with this name. Owena sounds very reserved and not outspoken. I do feel that the stress on the syllable sounds awkward anywhere and thus this name sounds kind of awkward.
This is my middle name so I'm a bit biased to liking it, especially since it has a strange flow with my first and last names. Slightly sad how it's not used so much; as far as I know I'm the only one in my class with this name at all.