There's a difference between detachABLE, and detachED equipment. It's ALL detachABLE. What matters is detachED. If she's wearing the equipment properly, it's not detached. If she was wearing her hat properly, landed on the ground with only the bill of her hat touching the base - it's an out. Ball in hand, glove on base - it's an out.
Now, if the glove had come off, for example, and she was merely carrying her glove, and touched the base with the glove (hand not in it), I can see the case for detached equipment (same as the removed hat above).
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