My friend recently went through something like this. You can try changing the bottle teat (experiment with more or less flow). If that doesn't work, try also to change the position of the baby when drinking. They went through so many teats and crying fits until they tried feeding her more upright and then the fussiness suddenly went away. Good luck!!
One possible reason i can think of is colic. Colic is very common for newborn till 5 months old. Baby still not capable to expel the wind on their own. Colicky baby is very fussy and when they drink milk, their tummy will feel uneasy and painful. You may check with paed to confirm whether it is colic or not.
Possibility to be colic. Her tummy maybe upset but she doesn't know how to tell you. This is extremely common among babies. However, you may wish to reconfirm with pd or gp. Having said that it's common but it's super uncomfortable for the baby. Please get it chk out fast.
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