my Libby is kind of like that. I got her at 1.5 years, so I'm not sure what she was like as a kitten, but she's definitely not a lap cat. She's still very social in her own way (she's chatty, she likes being in the same room as the "action", but she's usually laying on the floor, or a kitchen chair (she loves sleeping on kitchen chairs), and never on my lap (I don't think she's ever sat in my lap) or on the couch beside me.
She does like cuddles for a few minutes when I pick her up (but I got that out of her gradually by picking her up, and taking her to the window so she can "look out"..it started as just that, but it's grown into our "snuggly time"..she doesn't stay too long, just a few mins, but I get some kisses out of her that way
She runs to the door when I get home, follows me around, rubs up against my legs etc, so I know she loves me, she's just not one of those "all over you" cats... (which I kinda love actually). She is a Tortie (I never knew until now that that kind of independence was a breed thing!).
Ditto with sleep time. For the first 6 months, she liked being in the room, but would almost always sleep on the floor. Sometimes at the foot of the bed, but that's it.
Lately with the cooler weather, she's been snuggling a bit at bedtime, and then moving to sleep beside my feet.
I actually feel very loved by her (that she always likes being around), I think it's adorable. You should too!!! Your kitty loves being with you! A lot of cats hide in other rooms, and sleep in dens etc.
It's probably just a phase. Respect her space, pick her up once in awhile for love (try the window thing!), but don't force it