It might be of help to you by first playing the E Maj chord, then moving your pinkie down on the third fret while trying to keep your riing finger up out of the way. With practice, muscle memory soon should take effect. Just keep practicing!
Optionally, you could use that ring finger to press the 2nd fret of the D string. I have big fingers so I usually use my middle finger on the 2nd fret of both the A & D strings, while keeping my ring finger up out of the way.
Play around with it and see how it works for you. And like allthumbs said, be aware of positioning your thumb below the neck. Try different positions.
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