At about three months old an infant realizes that there is more to the world than mom and dad. They are able to focus more on objects and can spend minutes upon hours staring at objects, faces, toys, etc. Therefore, it is at about this age that breastfeeding infants want to look at the world around them as they eat. I experienced this with both of my children, who went on to breastfeed until 14 months and the other until 20 months. I have also seen countless children in all of my experiences exhibit these behaviors.
Be persistent. Do not offer her the bottle. Nipple confusion is real and can affect your breastfeeding. She will eventually latch back on and take to breasfeeding. I used to escape to our room, lay on my bed with my children and breastfeed that way. There were no distractions and the bond between us became stonger. I also used to turn off the tv and sit in a comfortable chair and relax before I would feed my children. The key is to be relaxed and to not focus so much on how much she is getting, rather that both of you are comfortable and not distracted.
I can remember crying on the floor of our living room, rocking my daughter back and forth as she screamed her little head off. I so desperately wanted to breastfeed her and she just was not showing interest. She would nurse for one minute and then pull off to look around. It was so hard, but I stuck with it(mostly because we could not afford formula) It took a few days of hard work, but it paid off. We did it, we accomplished it and we were a happy breastfeeding pair from then on! I know you can do it! Best wishes:)