My daugter have a hole about 1/4" philosophical and the size of a piercing in the helix of her ear. What might it be?

It causes her backache and so discomforts her she is unable to sleep some night.
Answers:

Without trying to pry too much, I don't know her age has she tried to self pierce (or dermal punch) her ear minus your knowledge. The lone other way would be some form of wound/infection that have ate away at the lobe how long has it be there ? Has she complained in the region of the pain for a while. I'd suggest the doctor straight away within the mean time verbs with brackish water.

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Has she have her ear pierced (possibly attempted to do it herself)?

Take her to the doctor because whatever it is, if it's that unpromising, it'll probably need treatment.

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Could be a pilononidal sinus. This is cause by a hair growing fund in to the skin. However this is usually found on the bottom of the spine, never hear of it on an ear before.

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"It might be" something she wishes to see her GP about, especially if she's losing sleep next to the pain. A prompt 5 minutes at the surgery could solve the problem.