You can be in a public place, sure; but if the person who has the restraining order appears there, you have to leave. If you don't, you can be arrested for violating the stalking protective order. The first violation is a Class A misdemeanor; any subsequent one is a Class C felony.
If this person repeatedly seeks you out, then you MIGHT be able to use this as a basis to have the order overturned. But this is not easy to prove.
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Presumably the stalking order says you must leave if she arrives at the same place you are. Unfortunately, it doesn't matter that you were there first.