First, check that the socket itself is working properly. Ideally - only the original lighter, because it is a device with a large power consumption.
It is also good to check the voltage on the socket, whether it is stable and full. You have to use a voltmeter here.
Also check the condition of the contacts - shine a flashlight into the socket and check visually if there is simply corrosion on the contacts, if the contacts are bent, etc.
If the socket works, the original lighter will heat up, and other devices will work - then everything is working on the installation side of the car.
The fault lies with the transmitter, since a short circuit occurs after connecting this part of the circuit. It does not necessarily have to be a working device.
If you do not have the ability and skills to check the condition of the socket in the car yourself, just go to the car electrician.
Lighter sockets are not eternal either. Contacts corrode, cable fittings loose, etc. Sometimes it requires inspection, repair or even replacement.
Please advertise defective transmitter.