Lyme disease in cats is historically rare in the UK, but cases will probably increase. However, studies have shown that cats seem to be more resistant to Borrelia than us people, due to a better initial antibody response. Therefore, even in tick endemic areas where Lyme disease is present in man, canines and horses, the incidence of disease in cats is much lower.
The common signs of the disease that are seen in people are hard to spot in cats because they are so good at hiding illnesses! However, you know your own cat so if she seemed to go 'off colour' I would definitely mention to your vet that you have removed ticks. Cats can present with recurrent temperatures, stiffness, lameness and general anorexia. It can be treated with antibiotics if infection is found. I'd say if you have a worry about your cat (if she's seeming poorly) then visit your vet and mention that you have found ticks on her.
From a prevention point of view, Fipronil based products (e.g. Frontline) have some preventative action against ticks, but I have found a large burden of ticks can overcome this action. One of colleagues has been raving about Seresto collars:
http://www.seresto.com/en/seresto-fo...hat-is-seresto
These have a long length of action and are now regularly recommended for animals travelling to Europe.
The clinically proven best way to remove ticks is with the O-Tom tick removers:
http://www.otom.com/how-to-remove-a-tick
Hope this helps and hope you get better quickly.