Yes, but most people (perhaps not you) think "Conservative" if or whenever the term "right winger" is mentioned. And we (we Conservatives) need to set the record straight whenever folks are unfairly demonizing Conservatives or Conservatism.
I don't know if "Conservatism" can be rehabilitated as an ideology while Trumpism is the guiding ideology of the Republican Party. As I recall Trump said he was the most conservative candidate in 2016 and he is the standard bearer for the GOP, and he can point to judges, taxcuts, and cutting government regulations but he comes with some heavy baggage including an alarming coarsening of political rhetoric, abandonment of Christian compassion, and an inability to disassociate himself with terrible people that praise him like David Duke, Kim Jung Un, and Vlad Putin. All of that feeds into the classic perception of right-wing = racism we've been taught by educational institutions and reinforced by media.