Australian Greens senator Sarah Hanson-Young says ZOO magazine made her look incompetent and immature when they photoshopped her head onto the body of a lingerie clad model.

Senator Hanson-Young is suing the magazine on several grounds over the photo and article entitled "ZOO's Asylum Seeker Bikini Plan", published in July 2012, a week after her emotional address in the Senate about Australia's humanitarian intake of asylum-seekers.

Offered a lingerie shoot: Senator Sarah Hanson-Young. Credit:Andrew Meares

But NSW Supreme Court Justice Lucy McCallum on Wednesday struck out several of her arguments, saying she did not believe the photo made the senator look incompetent or immature.