Baby eye in tears and pus....allergy conjuntivitis or blocked tears duct?HELP

Maja,11 months,dark-blond hair,blue eyes,shy,lovely,smiles a lot,crying only when hungry or when she has pain,sleeping a lot (12hours),she has often sweaty head,eating well and willingly,she has allergy for sourish things,she cant eat fruits except banana,since she was born she had pussy,watery eyes,since 5 months right eye was getting better and better and now is ok, we have still problem with left eyes,all the time tears coming out,sometimes a little bit yellow puss,at the morning she has often problem to open eyes becasue its sticky becasue of puss.Tears are coming out all the time but even more quickly when she has contact with sun or wind,the eye is a little bit swollen but not red.
We were using silicea 9 CH 1 granul every day during 3 days and in 2 weeks we repeated this treatment.The result was in these two treatments the same ,during giving silicea the puss was coimng out a lot,more then normally and we were thinking its good that its cleaning like that.But after treatment the problem was not solved.The eye is still full of tears and sometimes of puss.
The oculist said that it can be close trears-channel and maybe the operation will be needed.I must say from my side that i dont believe its blocked lacrimal duct and i will explain why.Maja has alergy for fruits and every sourish eating end then she gots egzemas.Usually when she got egzemas also this left eye is more red and more tears and yellow-grean puss is comin out,when the egzema is less the eye is also better but not completely super becasue the tears are still coming out.I suspect that this condition of eye can be connected with food allergy.Maybe its something like chronical allergy conjuntivitis.At the other side i dont know if existing something like chronic allergy conjuntivitis(since birth tears are coming out non stop but more when maja eats something sourish which makes egzemas at her body also often around this ill eye).Maybe conjuntivitis can be only just after contact with alergeen but Maja has tears coming out all the time even if her skin is good and she hasnt contact with allergeen.
I relly dont know if this eye problem is becasue of fruits allergy or maybe becasue of blocked tears duct. Please,can somebody help my doughter.