Robert Fripp or Jimi Hendrix

Too easy. 

Fripp.

I pretty much love everything Fripp has ever done but it's Hendrix

I like Fripps work a lot, but it's like comparing a big Dog to a small Dog.

Everyone knows Jimi's one of the all time greats - and maybe the most influential (electric) guitarist of all time. But based on personal preference it's Fripp for me, no doubt. I see no reason for not voting based on personal preference. Ever since I first heard them, King Crimson's music have always been close to my heart. So Fripp's guitar playing works within a musical context, where I'm predisposed to "feel more". Influence aside and listening to my gut, they hardly compare. It's got nothing to do with elitism, I know what the "correct answer" should be. But Hendrix for me is more like The Doors and Jim Morrison. They've always been there, and I do like a lot of their music very much. I appreciate and respect their historical importance and all that, but they are not "my guys".

Btw: I'm not really all that into "guitar heroes" anyway. If it wasn't for Hendrix very special talent for songwriting, in addition his guitar playing chops - I wouldn't really care all that much about the latter part.

It's pretty cool that they did meet once. Hendrix in England watching King Crimson live and sitting next to Fripp's sister's table. The label had asked Fripp to play standing like a normal guitarist which he had been doing, but this was the first show where he reverted back to sitting, and for good. I actually love the contrasting styles between these two legends. Fripp said when he met Hendrix after that show that Hendrix insisted in shaking his hand with his left because it was closer to his heart. Just too cool.
I prefer Fripp's angular style and his soundscapes.

Not quite sure how this comparison works out but I have to pick Fripp for the reason given above - we have decades of material of his as opposed to just a few releases with Hendrix.

Fripp