If you have been bitten by your cat and your finger is slightly swollen but does not appear to be infected, it is not imperative to consult a doctor immediately. However, it is recommended to monitor for signs of infection such as redness, warmth, swelling, and pain. Infections usually develop within the first 24-48 hours, so if any of these symptoms arise, it would be best to seek medical attention promptly to avoid complications. If the swelling is just a normal response to the bite and there are no signs of infection, then there may not be a need to consult a doctor. Remember to keep an eye on the symptoms and trace a line around the swelling with a pen to track its progression.