Tenant set up cable TV account in my name and then didn't pay.

[Michael DeVane]

Should I pay collection agency with Tenant's deposit money, report ID theft, or what?

[Marcia Maynard]

Is the tenant still renting a place from you or did they vacate?  
How did you find out about the problem?  Did you verify the facts?
What does the tenant have to say about this?  How was the tenant able to do this without your personal information, SSN, and signature?

I would not pay a bill based on fraudulent activity. Instead pursue removing your name and personal information from fraudulent accounts.
File a dispute immediately with the cable company.  File a dispute with the credit bureaus and freeze your credit until you get this resolved. File a report with the police when you have sufficient evidence to do so.

Check the status of all utility accounts associated with the rental unit. Some utilities can become a lien on the property if not paid, others will chase the tenant and not hold you accountable. Use the security deposit after the tenant has moved out for missing items, damages, unpaid utility bills that could become a lien on your property, unpaid rent, unpaid fees, etc.

Good luck!