Right, first of all, there's no need for anyone to be scared of her, poor little scrap. The fleas are easily treated. The vet or Pets at Home will give you a spot on treatment such as Stronghold or Advantage - dont buy spot ons from a supermarket - they're no good and can be harmful to cats, believe it or not. As she's so little, she needs to have a formulation that is at a strength suitable for her size/weight and age. They're applied at the back of the neck just above her shoulderblades, next to the skin. You'll need to part her fur so that you can apply the spot on to the skin.
You can get good sprays to treat the interior of the house, and I would begin by vaccuming throughout, particularly in crevices and round skirting boards etcetera. When you treat a room with room spray, you should keep the doors and windows shut, and keep pets out of the room while you're treating it.
If you have an old pair of tights, you can check for adult fleas on a dark carpet by pulling the tights over the back of your hand or a stuffed toy, and running it over the carpets or floor coverings - any fleas will be attracted by static to the tights or stockings and will stick to them. If your vacuum uses bags, seal the bags and dispose of in the bin. If it has a dyson style container, empty into a bag and seal firmly then put in the bin.
I know it's not pleasant to think of having these pests in your home, but once you're on top of them you can prevent further outbreaks by treating her regularly for fleas, whether or not you see evidence of any on her.
When we got Ross, poor little soul had really bad earmites. i remember how sad he looked while he had gooey treatment squirted in his ears. I still let him snuggle into me at night in bed though - couldnt bear the thought of him being left all on his own, and I didn't suffer from any nasties as a result.