Δαφνη Ευτυχια Αρθουρος

Up here in the Boston area, there are organizations that "help" pay for veterinary care if one can show need. They provide medication if needed and free spaying services. I luckily never had to use it despite the thousands I spent on my Midnight before she died, so I don't know all the details. If anyone, the SPCA should be able to tell you if there is such an organization in your area. They would much rather see a cat in a loving home than in a shelter. (Midnight was 18 years old, had chronic kidney disease, high blood pressure and arthritis, she was on a whole pharmacy if medications including daily subcutaneous fluids for the last four years of her life. When she died of a stroke,it was quick and painless for her, I on the other hand cried for days.)

Have you mentioned the cat to your mother? Does she like cats?

It certainly sounds like she has adopted you.
As for keeping her off the keyboard, that'll take some training. Set up a towel in a box on a table right next to you at the computer and every time she tries to walk across the keyboard, pick her up, put her in the box and pet her for a minute until she settles down, then go back to your work. Eventually she will learn.
My cat Lily now sleeps on top of the scanner on the table next to the computer table. She learned not to walk across the keyboard, but sometimes she forgets.
And your little one sounds pretty smart, she knew her pathetic starving meows would get you to feed her. :)