First of all, in is dangerous to give cereal in a bottle. Alot of people, over the years, have believed this was the proper way to help a baby sleep more soundly. But medical and nutritional experts agree that this is not a good idea. I would suggest you hold off an further cereal feedings in the bottle. Instead, give her some cereal thinned with formula or breat milk, with a spoon. You can try now, but don't worry if she can't swallow it. Just wait a couple days and try again.
The current medical evidence is that a baby gets the best nutrition from formula or breast milk for the first 6 months. However, this is not to say that you CAN'T start earlier. It's largely up to whether your baby can handle solids. Once she's able to handle a single grain cereal for a few days, without a reaction, you can cycle through the rest of the single grain cereal varieties. Then the mixed cereals are fair game too. It's not really necessary to feed your baby every type of cereal, though. It's kind of up to preferrances. When you think she's ready, you can try on the fruits and veggies. Through consulting with an infant nutritionist, I discovered that it is a myth that you have to start veggies before fruits. As long as the waiting period is honored, to identify allergies, fruits and veggies introduction order is flexible. She told me that babies will manage to get what they need. Besides, most people start with the carrots and squash anyway. And those are rather sweet veggies. I know that alot of the information out there is conflicting. That is why I talked with a nutritionist about it, and did some research from American Academy of Pediatrics guidelines. Although, the biggest thing I discovered in all of this research is that by following your heart and mother's intuition, you'll do just fine.