The basket needs to sit where the appliance is designed to wash and close safely. An obstruction or displaced wheel can leave it short of its intended position.
Understanding this situation
Forcing the door may damage the basket, seal or item causing the obstruction. The fact that a latch nearly engages is not a reason to push harder.
A useful next step
Check obvious load clearance with the machine stopped and remove unsuitable protruding items. If the basket itself will not move normally, obtain model-specific guidance. Do not run with a loose component or keep forcing a misaligned door.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.