Hinge replacement compatibility question

Yes & No!

While the hinge its self is the same design the clutch part is different as the 13” weighs less than the 15” so it won’t hold the angle when over 45º and the wires which are threaded through are too short!

Now the real issue is how hard it would be to swap out the hinge! The retina displays are much harder to take apart! Here’s a good example MacBook Pro Retina Display Teardown

Its best to return your 13” display and get the correct one! Its also possible the screws them selves are just loose! Follow this guide 2015年中视网膜屏macbook pro显示器组件更换 as you do you might find the case side screws are loose which would be an easy fix. Once off you should be able to slide off the clutch cover (reference the MacBook Pro Retina Display Teardown) Step 4 to see the screws holding the hinge to the lid frame. Otherwise its really time for a new display assembly!