A site, with an interview with her, claims that to be her favorite picture of herself:



I'd say that this suggests strong Ni at least. Probably not a Se ego type. But Ni-Se quadra seems likely.

Quote Originally Posted by Daryl Hannah
My initiation into the natural world was through summer camp,” she told Off-Grid in her interview. “I grew up on the 47th floor of a building in downtown Chicago, and I was so disassociated and alien to the world and my dad saw that I was having issues at school, basically my teachers were saying that nothing was really sticking, everything was going in one ear and out the other.

“I kind of lived in some fantasy world, and his solution was to send me off to the camps where he went to as a kid, which was in the mountains in the Rockies, in Colorado, and it was a camp where you lived in covered wagons for two months and you horse pack and you backpack. You know, you’d have to dig a fire pit and you’d have to dig a latrine , you have to pitch a tent, you have to feed the horses groom them and bridle and saddle them; pack your tent, pack your food and clothes, for two months, you know and I did that every year from when I was 7 to when I was 17, every summer.
What got you interested in acting in the first place?

I started acting when I was living here and I was about 11 and the whole impetus was that I could live in an imaginary world. Most of the time, I don’t really get as thorough of an opportunity to do that as I would like. "Northfork" was a really good opportunity to do that as was "Blade Runner" and a few other things I’ve done like "Dancing at the Blue Iguana"-which wasn’t an imaginary world but it was a world that I had certainly never experienced before-where I can just submerge myself in a different reality
She very often says things like that.

I remember reading that when she was dating John Kennedy Jr and his mother was in hospital terminally ill, she went to visit her and some silly journalists lambasted her for going there dressed "as if she was going to clean the windows". She's been described as being shy in the beginning of interviews. A quick reading of her life suggests the Gamma "hermit streak".

I haven't found online interviews of her. Anyway, I think that INTp is a good possibility.