all the doctors we visited since then told us it was an intelligent decision to take her out.
The child is very young, so the language was not the issue. It's an emotional condition called separation anxiety. It's not surprising given the circumstances. Any change in routine is unsettling for an infant and her daily life/routine and environment underwent huge changes due to your move from India. Add to that, being sent to daycare for the first time and it's quite a potent mix.
Sending her to an English speaking setting may make little initial difference. The issue is about being separated from her primary care giver, presumably her mother. Your child needs a bit of a break with no kindergarten at all for a while, but make sure she keeps mixing and playing and socializng outside the home. When she starts again at kindergarten, you need to inform the manager and class teacher that she's had a few problems previously. Only enrol her if they show understanding and agree that she simply come for a short visit a couple of times a week to begin with and that mother can stay with her. I'm talking very short, about 15 minutes and let her wander around, look at the toys etc. Don't try to direct her to any activity or make her play/interact. Once she gets to know the place as simply a place she visits with mum, mum can withdraw and child can be left for longer periods. Under no circumstances should you leave her for an entire day to begin with. It may also help if she's allowed to bring her own familiar food/snacks at first.
I think that under the circumstances, an English speaking setting would be best purely from the point of view that you, the parents, need to be able to communicate with the staff, very clearly, for the sake of your little girl's welfare and you might struggle to do that in Polish.
One thing you need to really be careful about, is communcating your own worries or anxieties to your child as she will pick up on them and they will make her worse.
You may find this helpful:
I'm a teacher btw, Montessori, and have many years experience dealing with the pre-school age group, and with foreign national children with no English, in English speaking settings :))