“Mingle” is often, but not always, combined with the preposition “with”. These are some common ways to use it:
He mingled with the other guests at the party.
We had trouble mingling with the rest of the crowd on the ship, since most of us just spoke English but most of them didn’t.
The boy was too shy to mingle very much at lunchtime.
The examples you give aren’t really the most common way to use “mingle”. We rarely say that a single person “mingles” with such a large group as “society”. We would probably use other expressions like “integrates into society”, “finds her place in society”, “mixes well in her new community”...