Check graphics settings first, especially ray tracing which needs to be off for better response. Using taau instead of other anti aliasing options will help with performance, and setting the ultra preset usually gives best results. Controller issues often clear up by adjusting sensitivity to 0.10 in both menu and gameplay settings.

Gog galaxy overlay is causing problems for many players, so disable that right away along with any other background apps running. Hardware cursor settings might need adjustment, and if youre still having trouble, the input lag fix mod helps quite a bit especially with movement delays.

Good to know: something worth trying is lowering controller sensitivity, updating your drivers and closing resource heavy programs like discord or xbox game bar. If problems continue you might want to toggle between different movement response options, or wait for official patches since some issues are engine related and need developer fixes.