"The trade school says they have to give 1098-T to the employer as they paid the tuition."
If that's the case, then you qualify for an exception, and can claim the credit. Enter as previously instructed.
That said, it shouldn't be too difficult for you to get a copy of the 1098-T from either your employer or the school. The 1098-T does not have to be in your name. But, you shouldn't need it. All that matters is that the school is an "eligible institution". You will need the school's Federal Employer Identification Number (FEIN).
