First of all, it doesnt matter what "race" she is, in the end, humans are born very much the same despite physical differences. Already calling a certain group of individuals with similiar appearances is racist in of itself. She can't continue her race because her race is literally not a race, but more like family if anything and it is not possible for her to continue her bloodline if she cannot find someone she loves.
Of course, Genetics exists and if it werent for the case that this is a manwha filled with magic (as seen by the giant beast of a wolf on the cover) i would agree with you. Genetics do not work that way, despite that, there is, the super small off chance, that the female protagonist has had a rare mutation which can change the appearance dramatically. But yes, genetics dont work like that, so our only explanation is magic.
Secondly, Gypsies can possibly learn a lot of different cultures and techniques over the years, which gets passed down to the children of gypsies, and this continues until their techniques CAN reach a new height. Of course, chances are that this happens is very low, and even more so without proper education, which gypsies historically have not been able to get.
Third of all, i'm not sure if you have read all the chapters, but never was it specifically said that our protagonist had the goal of erasing her tribes prejudiced views, in fact, there is noone left that would be victim to said prejudiced views; because she is the ONLY one of her tribe that is left! And she became royalty - That already sets an insane high bar for having a biased opinion on people with physical features like she does. Furthermore; The entire history of her Achievements have been written down and are now being taught in schools in her own empire - that way she literally is fighting prejudice and bias in the coming generations by teaching the generation how cruel and wrong shunning someone by their appearance.
What bothers is me how fast you are to jump to conclusions. We dont even know what kind of political system the Empire is using - of course, judging by her being the sole Leader, it is most likely going to be a monarchy/dictatorship, with advisors aiding the Emperor.
Also, according to one of the newer Chapters, our protagonist is talking like a women in her 50s or 60s - meaning she continued her rule till she was atleast 50 years old - and at the age of 25 she was betrayed by Theodore - that means she has reigned for atleast another 25 years. Does someone not giving a shit continue to rule for 25 years? I dont think so. Someone not giving a shit would abdicate their throne or perhaps become unable to further rule the Empire.