Are you right handed? When you try to grip the microSD card with your right hand you may find your thumb and forefinger are to the LEFT of the microSD card and therefore pressing against the left hand edge of the microSD card recess.
Try either using your LEFT hand to grip the card or simply hold the unit upside down so that your right hand thumb and forefinger are facing into the microSD card opening rather than against the left wall of the opening.