Should not be sung?

[Aaa]

I just typed this sentence and cannot figure out whether I used the correct form of the verb to sing:

That song is great but it should not be sung by her. (now, but also in the future)

Does anyone know whether this is correct?

[Kitosdad]

" That song is great, but it should not be sung by her." That's OK

" That song is great, but she shouldn't sing it, " could also be said.
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[Aaa]

Thank you!