Yes, that’s how it’s supposed to be. Your regional representative is supposed to represent your region. If you’re the minority in the region then you don’t get to pick the representative.

We don’t have a proportional voting system. The system is not designed to ensure that elected party makeup matches voter preference distribution.
The minority voters in your scenario get their say in the Senate votes where everything is equal and the district is the entire state.

In any case, the scenario you’re describing is more representative of the cracking type of gerrymandering that’s the problem. A collection of voters in a region being split amongst multiple districts to dilute their votes is what gerrymandering is.