Hello, Jacqueline -
I am not familiar with the Brother FS120QCi sewing machine. Nor have I been able to find ANY information online about that model of sewing machine.
Therefore, I suggest you locate the authorized Brother sewing machine repair business where you reside, make a phone call, and as one of the repair technicians there about the needle threader for your model of machine.
From information I found on other models of Brother sewing machines with needle threaders, the needle threader is an all-metal or metal and plastic piece which affixes to the machine. You can see images of some sewing machine needle threaders here:
https://tinyurl.com/yb62lm2y
Best wishes.
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