No, she stayed as Perez's sth like attendant. Although she has feelings for him, she know her place so well. Remember the swordsmanship book that Tia gave to Perez? It was actually from the fallen knight family which apparently Romana's family. She was the heiress of that noble family that was trampled by the "bandits" which is the Empress Family "The Angenas" it was also the reason why Tia call her Lady Romana in their first meeting because of her noble lineage. So, Tia succeeding as the matriarch of Lombardi is actually Romana's push to succeed as the head of her family.
Yeah, you have to read the first chapter. She is a korean, transmigrated in the story where Perez become the emperor and Ramona as his female lead which also that time the Lombardi family ruined coz Vieze take over after Rulac died. Tia works so hard to bind the Lombardi family together but Vieze and another Lombardi (frgt his name) pushes Tia out of the Lombardi family and she wonder in the street. Thereafter, she in the midst of Perez's coronation; she saw Perez appearing in the crowd at the side of him was Ramona, the night that day is her last time coz she got stamped by a horse. After that, she was reincarnated. She's living her SECOND LIFE by that she thought about being “a matriarch in this life” coz Rulac before he take his breath stated that "Tia is more than capable of being the head than his eldest child" which is Tia's uncle. It was also the reason why Tia disregarding her feelings to Perez coz she still believe in the recent chapters that her first life where Ramona and Perez will be together and that applies in this life too. (▰˘◡˘▰)
It just a matter of time where the og FL (Ramona) will meet Tia and yeah she make an impression to Tia.