If a baby has a dummy or not is the parents decision same as when to start toilet training. There is no problem with babies having dummies in fact some studies into SIDS show it helps. If being taken out in front of a whole lot of strangers and children upset her I would rather she had her comfort item eg. Dummy than been upset just to please people.
As I have often said to the parents of the babies and children I cared for. They won't start school with a dummy and in nappies so relax and enjoy your baby and don't listen to the know all's who know nothing about your baby. IMO
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But it is unnecessary.
If you don't start using them right away, the baby won't develop a dependency and there will be no problem.