Take the easy way with people who are over thinking this, tell the child to use the German expression in response to a sneeze, gesundheit! It's used in many countries who don't even usually speak German.
Sigh… ok, I am going to wade into this with my opinion. I am personally nonreligious. My family attended Congregational church and I attended church and Sunday school throughout my youth. For whatever reason, I guess the vaccination never took because for whatever reason I just never believed. I am not an atheist. I am not agnostic. I am Bob. Let's leave it at that. I am neither for nor against those that hold religious beliefs. My view is that each and every religious group has a common belief in some supreme being. The name/names may be different, but when you boil it all down the underlying concept is the same. What you need to make you life work is something I have no business meddling with. So if I sneeze, feel free to say God, or Allah, or Ganesh, or Thor bless you. I understand what you are saying and thank you. That teacher would have served us all better if he or she had simply said nothing. I personally have had my fill of hypersensitivity and micro-examining every phrase that is uttered today lest someone might find some way to be offended. Don't we have something better to do? Anyway, I am going to go and quickly jump into my bunker now and wait for incoming.
Why can't people just take things in the spirit in which they are meant?