The Vonyx WM55 wireless microphone system is not specifically listed as compatible with Sony LinkBuds Speaker model YY7863E. The WM55 system is a UHF wireless microphone with plug-in receiver with audio output via 6.3 mm jack, designed to connect to amplifiers, mixers or audio systems with compatible input. Compatibility therefore depends on the presence of a suitable audio input on the Sony LinkBuds Speaker; if the latter does not have a 6.3 mm jack or compatible audio input, direct connection will not be possible.
The Vonyx WM55 microphone has a 6.3 mm audio output, so you can use it with a speaker equipped with a 3.5 mm aux input using a 6.3 mm to 3.5 mm converter. Make sure the converter is compatible and that the speaker can handle the audio signal provided by the microphone.