No I don't think it will. That attachment is for a 'Slant Shank' machine like a 301.
The K on the Sewing machine model number simply means it was built in Scotland. That means it is basically the same as most other 201's.
Question edited for clarity.
Do you mean the embroidery unit. If it is secondhand and has been stored for a long time, sewing machine oil, or worse WD40 goes 'gummy'. You would need to clean all the out. WD40 is a good solvent, so spray, leave it to soak, spray again and agitate with a brush. The wash it all off with hot soapy water. Dry thoroughly and after a few days, lubricate metal parts with sewing machine oil and any plastic parts with a dry silicone spray like Jigaloo. Test Jigaloo on a flat piece of plastic first as it is also a powerful fast drying solvent.
In the event that your Vocalist Quantum Beautician 9980 isn't playing out the needle change and won't sew, there could be a few issues. To begin with, guarantee the machine is strung accurately, and the bobbin is appropriately embedded. Check in the event that the needle is embedded accurately and not harmed. On the off chance that the issue continues, counsel the client manual for investigating tips or consider reaching Artist client assistance for additional help.
Lois, all questions need full 'make model (what it is) please. Futura is a range of models so ''Singer Futura' isn't specific enough. Add the model number after the word 'Futura' and press enter.. You can also look for the Service Manual. There is one in the link, but no Error 20.
https://www.google.com/search?q=Singer+Futura+Error+20
..
DON'T cut lumps out of your machine. There will be a sequence you use to remove the parts you need to access to the gears more easily. The Youtuber you referred to sounds like they have zero knowledge when it comes to these older style machines.
'Note' Some of the gear mount nuts are on a "Reverse" thread meaning you turn them the 'wrong' way to get them off.
My limited knowledge is more on the much older hand crank and treadle machines.
Try the Youtube link below for a channel called 'Andy Tube'. He has a good reputation for correct repair methods. The link is for a 758 but they're both Touch and Sew machines.
You could also try the Facebook group 'Vintage Singer Sewing Machines' as they have loads of knowledge about loads of different machines.
https://www.youtube.com/watch?v=zxd5hKjGBlE