Does unmarried pregnancy imply the hudud punishment in sharia?

As there are multiple hints to "ward off the hudud as much as possible", and I have not seen "unmarried pregnancy" as one of the conditions for fornication punishments till now. I am just asking this question as my study on this topic might be limited. 1. Does unmarried pregnancy imply the hudud punishment in sharia? 2. If not, What kind of punishment given then? *I am not asking about a pregnant woman confessing* If I state my question in the form of a Scenario: A woman exists in the city (either lives alone or with parents/brother, doesn't matter) and she is unmarried and pregnant. The religious authority/leader come to know about her, she does not confess to zina, What are they supposed to do in the light of Sharia?