Yepp. Sounds terrible. Thanks for the example.
I think its related to
"08:50:03.555: - filter: 'Noise Suppression' (noise_suppress_filter_v2)
08:50:03.555: - filter: 'Noise Gate' (noise_gate_filter)"
Noise suppression works only good for speech (transients and short vocals with running breaks and pauses in between). Why? It measures constantly changing timbre, frequencies and loudness (for speech ever changing) and suppresses common parts of the signal (like hum and noise). Its definitely not going well for music or choir with sustaining parts.
And the gating threshold raises with the overall (or average) level, which is for ongoing music much higher than for speech.
So you have to(!), if ever possible, drop these two filters!
If you experience hum/static from a ground loop (it seems to come thru when the reverend speaks), then bring instead a pair of di-boxes into the path between your foh/mixer and your streaming computer. Passively ones like palmer di-01 will suffice. Simple transformers with the possibility to break-up a ground-loop.
And clean up your gain structure. Mixer should send appropriate level over ground noise so that gain at your capturing device may kept low (of course without any clipping!)
Hope these hints help a little bit.