HDMI stands for High-Definition Multimedia Interface, and it is a way to connect high-definition peripherals. HDMI combines video and audio so you only need one connector, in most cases, to get both. HDMI ports come on a number of different products, from HDTVs to computers and digital cable boxes. If your HDMI connectors need replacing, it isn't a big deal because they are relatively cheap to replace.
Purchase a new HDMI connector that is the proper length for your needs.
Unplug the broken HDMI connector from the peripherals it is attached to. Discard the broken HDMI connector.
Plug the new HDMI connector into the HDMI port of one of the HDMI capable peripherals. Push the connector in all the way. Plug the other end of the HDMI connecter into the HDMI port of the other HDMI capable peripheral. Push the connector in all the way.
Turn the HDMI devices on to check the connector. As long as the sound and video come through properly, the HDMI connector was replaced correctly.