Another possibility that comes to mind is a compulsory license.
For those not familiar with compulsory licenses, US copyright law provides that for certain kinds of works and uses of those works, instead of obtaining a license from the copyright owner you can pay a fee to the Copyright Office and they can give you the license. The Copyright Office sets the amount of the fee. The money still goes to the copyright owner.
It doesn't matter if the copyright owner doesn't want you to have a license [1]. If you pay the fee, you get the license.
Unfortunately for Swift, I don't think that taking a compulsory license would help her here. I don't think that there is a compulsory license available for broadcast rights or for performance rights, one or both of which would be necessary for performing the songs on a TV broadcast. I think that the only compulsory license available for songs is the right to make and distribute audio recordings.
[1] One big exception. In the case of recordings of songs, compulsory licenses are not available until after there has been a release authorized by the copyright holder. Once the first authorized release is out, others can take compulsory licenses and make and release their own recordings.
For those not familiar with compulsory licenses, US copyright law provides that for certain kinds of works and uses of those works, instead of obtaining a license from the copyright owner you can pay a fee to the Copyright Office and they can give you the license. The Copyright Office sets the amount of the fee. The money still goes to the copyright owner.
It doesn't matter if the copyright owner doesn't want you to have a license [1]. If you pay the fee, you get the license.
Unfortunately for Swift, I don't think that taking a compulsory license would help her here. I don't think that there is a compulsory license available for broadcast rights or for performance rights, one or both of which would be necessary for performing the songs on a TV broadcast. I think that the only compulsory license available for songs is the right to make and distribute audio recordings.
[1] One big exception. In the case of recordings of songs, compulsory licenses are not available until after there has been a release authorized by the copyright holder. Once the first authorized release is out, others can take compulsory licenses and make and release their own recordings.