Side effects for neo poly dex eye drops? I'm very sensitive to steroids.

Yes. The antibiotic especially neosporin in the eye drop may cause contact allergic reactions, the steroid can increase the risk for eye infections (especially HSV1 )which can potentially lead to loss in eyesight) as well as glaucoma in genetically predisposed people. If used for just a few days, it will likely be ok but one can never be sure.