Why isn't my a/c blowing cold?

Hello If your air conditioning system is not blowing cold, testing must be performed to determine the cause. There could be several different causes. Since there was work done under the hood with the belts, I would be concerned about the air conditioning compressor rotating appropriately, as it is belt driven. Perhaps check the belt routing to make sure it is being driven properly? Seems coincidental that the problem started after these repairs. After the belt routing is checked, the system should be checked for proper pressure. If the refrigerant level is low, the system will not turn on as proper. If the system is fully charged, the electrical portion of the system should be checked to ensure the compressor coil and clutch is working properly. Lastly, the climate control system in the vehicle which controls settings and operations could be malfunctioning. Many things to check, too hard to go over everything here. Seek guidance from a local trusted shop. Spending even 5-10 minutes visually with your vehicle, a good direction for diagnostic testing can be determined.