My general understanding about the "no no" factor of deli foods is that you don't know how long it's been sitting there for.

So if it's proper pre-packages (ie: vacuum sealed or whatever, with a use-by date on it) then it sounds like it's pretty low risk.

FWIW when my friend was in hospital while pg, she was served hand and cheese sandwiches for lunch in the maternity ward, with other pg people! So assumedly lunch meats in and of themselves aren't problematic

Try not to stress about it.