What make of sax is it?
Not all saxes have the shift lever on the body placed so it lies central when the crook is lined up with the body or lining up with the sling ring or the thumbs. Selmer SBAs have the shift lever off towards the left (as you're playing) and the crook key is mounted between different height pillars so it moves in a slightly diagonal plane instead of straight up and down, so the loop of the crook key will often have to be bent to allow it to function properly even if it looks out of shape or off-centre.
Set the crook on the playing position and bend the crook key accordingly so it works for you, still allowing for a small amount of clearance between the end of the shift lever and the inside of the crook key loop (around 0.3 to 0.5mm).
Not all saxes have the shift lever on the body placed so it lies central when the crook is lined up with the body or lining up with the sling ring or the thumbs. Selmer SBAs have the shift lever off towards the left (as you're playing) and the crook key is mounted between different height pillars so it moves in a slightly diagonal plane instead of straight up and down, so the loop of the crook key will often have to be bent to allow it to function properly even if it looks out of shape or off-centre.
Set the crook on the playing position and bend the crook key accordingly so it works for you, still allowing for a small amount of clearance between the end of the shift lever and the inside of the crook key loop (around 0.3 to 0.5mm).
