4 and 1/2 months might be a little young to be starting cereal. We waited until 6 months to start our son on solids, including cereal. He never really liked the rice cereal plain, but he liked the oatmeal one and liked it once we started adding other foods to the cereals.
If you really want to keep going with the cereal just keep offering the cereal to her first. But don't push the issue or it will become a power struggle. if she doesn't want the cereal when you offer it, give her the bottle. It sounds like you tried to quit the bottle cold turkey and go to all cereal? If so, she is probably just reacting to missing the bottle. Have you considered gradually switching her to a sippy cup? Also, you could try offering the cereal, and if she doesn't want it, leave it on her high chair tray and hand her the bottle at the same time, to let her know the bottle is here, but so is the cereal if she changes her mind.
I've found that all our food issues so far have been solved by being very low-key and relaxed and not making it an issue if our son refuses a food or drink even repeatedly.
The only exception was he refused soy milk for two and a half weeks, and I solved that by mixing pudding flavors into it. If your daughter consistently refuses the cereal, either she is just not ready for it, or try mixing something fun in there- make it turn a different color by adding some pureed baby food or something. Or put it in a special fun bowl and let her hold a baby spoon while you hold another. Sometimes when my son was reluctant to try a bite of a new food, he would refuse it from me but loved it when his dad would do the "airplane" routine with him.
Best of luck to you- don't let yourself get too wound up about it, since babies/toddlers definitely sense your emotions when it comes to food and mealtime!