We actuall need to see the skylight and the room

I saw that the photos were cropped whenI posted. I think if you Click on the photo it will show the whole photo! Thanks for looking!

Perspective is difficult. For a single fixture centered over the table, can you show just where it would be on the ceiling?

How about five or six recessed Can Lights - the left most washing the wall and furniture. Small red dots are the proposed lights. Move ceiling fan or not! (Lights can be focused on the wall, the table, and the area "down" from the lights. They do not have to be pointed normal/perpendicular to the ceiling!)

Recessed can lights would be pretty high and not be aimed straight down. It's unusual, but you might consider two suspended fixtures, one on each side of the skylight. And it may not be feasible, but perhaps the table itself could be shifted?

If you turned the table the other direction so it runs the same way as your buffet, you may have room for a light on the other side of the skylight. That would also look better in relation to your ceiling fan. If you want to keep your current arrangement, I would forgo a hanging light, and find some interesting tall tabletop candleholders for evening. You could also put in two wall sconces along your buffet wall for more ambient light instead of using your buffet lamp.

You can swag hook it. It so hard to tell from your photos but most likely there is a stud framing that skylight, which would mean you could anchor a hook into the ceiling just to the right of the sky light...from what I can tell?!

if its light enough it shouldn't be a problem.

Removing the skylight is probably the cleanest solution. I do like the can light suggestion. You might also be able to install a track light across the skylight and hang a couple pendants from it - not sure how that would look?

RL's solution sounds like a winner to me.

IMO, can lights exist mainly to sell more lighting hardware, because you need so many of them to get something close to even lighting. A hanging fixture or chandelier that reflects some of its light off a white ceiling (indirect lighting) will do a much better job of lighting the room evenly. Using indirect lighting indoors is roughly comparable to reading a book under a nice leafy tree, instead of squinting at it and straining your eyes in direct sun.

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