inaccurate top down mouse aim (2D)

I am working on a top down shooter but the mouse aim is slightly off, the character will look slightly away from the crosshair leading to inaccurate shooting.

 Vector3 mousePos = Camera.main.ScreenToWorldPoint (Input.mousePosition);
 Quaternion rot = Quaternion.LookRotation ((transform.position - mousePos) * Time.deltaTime, Vector3.forward);
 transform.rotation = rot;
 
 transform.eulerAngles = new Vector3 (0, 0, transform.eulerAngles.z);
 rigidbody2D.angularVelocity = 0.1f;

Are there any ways to make this code more accurate or, in the case that there aren't, any alternatives?