You're going to need something with more substantial support than wire by itself can provide. I'd recommend a short piece of bamboo. You can normally get a piece at your local home improvement store in the gardening section.

Just gently push the bamboo into the soil next to the seedling. I'd also recommend only putting it about 1' deep, or only as deep as needed to get it to stand in the soil firmly, and to keep the total length of the support to about 3" or 4" . You do run the risk of hitting the root system doing this, and at her age, it very well, and probably would, be fatal. She is pretty young, and I don't know if you started the seed and transplanted, or grew directly in the soil. If you germinated and then planted you might still remember how the root system looked going into the dirt, so you might be able to avoid it if your careful.

That being said, she is still pretty young and its not entirely unusual for them to lean and bend towards the light. On my younger plants, especially the seedlings, I have to rotate them daily since my light source is not directly above the plant, but off to the side. Good luck!