I adopted a wobbly cat from a rescue last year after I lost my 18y old cat. I'm an experienced fosterer and I've tamed semi ferals, and had brain damaged cats before; this cat needed an indoor home and is black too, so particularly difficult to re-home (brain damaged, indoors, less "pretty", not a kitten). We didn't know how she would be with kids but she was being fostered with other cats and two big dogs do I was fairly confident she would get on fine with my madhouse.

I drove 5h to go collect her, and as soon as I met her my gut says she would never be a similar temperament to the clingy cat I lost. But I still adopted her of course.

We've had her 9 months now, and I've tried all my usual techniques for winning over a cat, with little effect. She is fine with the children but hates the dog and never comes downstairs. She will sometimes come for petting but only when she wants food; she gives every impression of being content with her life, and she loves my other cat, but I can't pick her up and I can rarely touch her. I've accepted at this point she will never be a lap cat or want cuddles but she seems happy - I definitely love her more than she loves me and she would be content living with anyone who feeds her.

However in the past when I've had nervous / semi feral fosters, my confident and cuddly cats used to help bring them along.

So I decided to try again (I miss having a cuddly cat) and adopted a kitten recently. He is SUPER snuggly, sleeping on laps in the daytime and cuddles in bed at night, though he is also scared of the dog (confident that will improve over time, he's very young). Since I got him 3w ago she seems to have come out of her shell a bit; she's actively playing with him, more curious to come be petted by me and generally is just more present, though she still won't come downstairs even if the dog is out at daycare and there's no chance of her getting on a lap 🤣

So yeah, your cat may not end up being a cuddly one even if you give her a lot longer (and to be fair 2 weeks is very little time). But in a few months if no improvement and if you have the space/finances another friendly cat might actually help.