Yup that's all it takes is just one puncture from a cat bite and it's almost instant infection.
Kim, it must be serious wound if you have to go for I.V. treatments that many times. Prayers and positive thoughts heading your way for a full and complete recovery.

My sister was attacked by her 19 year old cat this past summer and had two puncture wounds on her hand. She also had to go for I.V. drips, twice a day for a week. Her hand swelled up and looked like a little football. She had a complete recovery as I'm sure you will also.