Skyrim is more than the sum of its parts, which is another way of saying that many of Skyrim's parts are janky. High on the list is its third-person camera, which was rough around the edges in 2011 and feels extremely old fashioned here in 2021.
Enter, as always, the modders. The True Directional Movement mod available from Nexus Mods offers "modernized third person gameplay", and it looks like a huge improvement.