Teresa has a father, that's certain. There's no Daughter Nation in this world, nor is there a River of Children and Mothers that can guarantee pregnancy. The female sorceress definitely has a father, and according to Laine's knowledge, Teresa's mother, Aurora, was originally a daughter of the Imperial Nobility. She eloped with a man, giving up her title, and finally relied on her powerful strength to join the Jialan Council, settling in the Celestial Vault Castle.
So this is very strange because Laine has met Lady Aurora several times. She is an outstanding woman full of wisdom and talent. Therefore, the man who managed to elope with her certainly can't be just a worthless loafer or a rogue thug, reality isn't like a web novel where main characters can easily win the hearts of noblewomen educated in traditional medieval nobility. Thus, Teresa's father must be someone of considerable ability.