Can someone with a deferred action be on TV?

From an immigration law standpoint, it's ok. You'll have to speak with the show about whether deferred action equals legal residency in their view.

It is impossible to give you a sure answer. On the one hand, it is likely that the program wants only those participants who can legally work in the U.S. and not worry about getting visas, extensions of status, etc. That is, likely, what they meant when they drafted the terms. If you show them your Employment Authorization card valid for 2 years, it might just close the issue. On the other hand, the program can insist on strict compliance with its terms and deny your group participation because of your status. If that happens, there will be little anyone could do. The network can set any terms it wants, and, if you cant or don't want to comply with them, its your problem. If it won't let you in on the show, you will not be able to complain of discrimination and ask a court to enforce your rights, because there is no enforceable right in this case. So, there is a simple way to find out: you, or your group's manager or promoter, or your attorney can call the network, explain the problem, and ask if you can perform on the show. Make sure that the network knows that you have an EAD for 2 years (that will be extended for 2 more years, and then extended again, and again). You might want to postpone this discussion until later if your group makes it through the audition, and the network really likes you, the chances that they would be "flexible" with your problem are much greater than before the audition.

You may want to hire an attorney to read everything over to see if you can somehow qualify. It may be worth the investment if it will help you.

You need to ask the show people. If you have to be a citizen or permanent resident, then you may not qualified.

You will need to contact the producer of the program directly and inform him or her of your immigration status.

Deferred action is not legal resident status nor is it US citizenship. So, lacking either status of a US citizen or lawful residence, the X factor organizers disqualify you from their show. However, since your DACA status not only grants you status to live and work in United States, explain to the X factor organizers that your presence in US is known to DHS and authorized by CIS. If you have already received your DACA work permit, you can present that to them. Whatever you do, do not claim either in writing or otherwise that you are a US citizen

I would have to see the exact terms of the contract, but it would seem that you are a resident and through DACA, you are not illegally here.

Maybe, maybe not. It will depend on how the producers of the show want to treat people with deferred action. Although, with deferred action, you have legal status and will not be deported, you are neither a U.S. citizen, nor a permanent resident. The producers can decide that you are ineligible for the show.