If you run a Google Image search on "hair swept to the side" and "hair combed to the side", you will see the former returns mostly images of long-haired women, while the latter contains mostly pictures of short-haired men.
The literal meaning of the two is essentially the same, but this demonstrates that "combed" often has the connotation that the hair is short, close to the head, and perhaps with visible comb marks.
I wouldn't use "worn"* in the passive voice- it just sounds weird. "She wore her hair to the side" is ok, but "Her hair was worn to the side" isn't great.
Because the subject of your sentence has long hair and presumably a feminine hair style, I would prefer "Her hair was swept to the side" of the options given.
*The past participle of "wear" is "worn", not "wore".