skype
Is it possible to mute just one person during conference call?
I use Skype at work to make everyday teleconference with my team. One of my team members sits in the same room as me, so I don't need to hear her from the speaker. The result is, that I can hear the person twice, with slight delay, speaking "live" in the room and in Skype.
By bluetooth... which profiles are you implying "works" and "doesn't work". Typically, if you're using "A2DP" for your audio output, your microphone won't work. A2DP requires a significant amount of bandwidth that will not allow for a "Hands Free" profile while transmitting audio. Most headsets (that I've used) require you to switch to a "hands free" profile that sounds like garbage (mono, low-quality, etc...) but will allow you to use the microphone. Sometimes, that "switch" must be done manually... by disabling the a2dp profile and enabling the hands-free profile. Windows sees the "output device" for a2dp and hands free separately... so if you have a program playing music... and you switch to hands free... the music will keep playing on the a2dp interface (going nowhere essentially) and your hands-free output device is the only thing that will work.
I think you're trying to over complicate things. I believe the problem you're trying to solve here is to record Skype conversations. To do that, you need:
You can get 3 by using any screen recording software. I prefer Debut by NCH Software.
For 1 and 2 all you have to do is press Win + R and enter:
control /name Microsoft.SoundPress return. Now you should see the Sound Properties window. Switch to the "Recording" tab. Right click anywhere in the white space and select "Show Disabled Devices"
Right click on "Stereo Mix" and select "Enable". That will allow an audio recording software like Audacity to record audio directly from the sound card so you'll be able to record sound coming out of your computer's speakers.
Double click on Stereo Mix and switch to the "Levels" tab and increase it to 100.
Click OK and double click on "Microphone" and switch to the "Listen" tab and check the box that says "Listen to this device" and select your computer's speakers as the playback device.
Download, install and start Audacity and under Edit -> Preferences:Devices, choose "Stereo Mix" as the recording device.
That's it. Start recording audio. Switch to Debut. Start recording video. Switch to Skype. Place the call. Finish the call. Merge audio and video using FFMPEG after editing.
If you still can't manage to get this to work, you might want to check out this article.
If you'd like to record the audio stream from the computer and the audio stream from the microphone into separate individual tracks, you can use MixPad by NCH Software or any DAW that supports multi-track recording. I've confirmed that n-Track 7 works too. However, n-Track isn't free. If you use MixPad, make sure you download the free version for non-commercial use.
To record both audio streams separately, make sure you have unchecked the box for "Listen to this device" under the "Listen" tab in Microphone Properties.
Now start MixPad, and enable recording from the first and second tracks. (i.e. "Untitled Track 1" and "Untitled Track 2"). You can do that by clicking the small, grey record button beneath each track.
Now click on the little wrench icon for track 2 and make sure that its recording device is set to "Stereo Mix".
Do the same thing for track 1, but make sure its recording device is set to "Microphone"
Now start recording by hitting the F5 key or by clicking 
There are two ways you could do this. You could select the track you want to export by clicking on it. Now switch to the "Mixing" tab and click "Export Clip". Select the audio format, bitrate and output path and hit "Export".
The other way to do it, is to click on "Clip Manager" under the "Tools" tab. Then right click on the clip you want to export and select "Export Clip as..." in the context menu. Select output format, audio bitrate, output path and hit "Export".
Then, to have a single audio file with a separate channel for each track (considering the Skype recording aspect), add them into an Audacity project and export them into one audio file after enabling 'custom mix' option:
For more details on the options to use with Skype (including a solution without involving Stereo Mix), see also this complementary answer.
Best Answer
To answer my own question, I believe there is no way to mute just one person. The same problem was already discussed on Skype support community.