The shaving head is suitable for the models
BodyGroom Series 7000 (TT204x)
BodyGroom Series 3000 (TT203x)
BodyGroom Series 3000 (TT202x)
So it fits your model.
The TT2000/43 replacement shaving foil is compatible with the Philips Bodygroom Series 3000, 5000 and 7000. This shaving foil is not specified as suitable for the Philips Lady Shaver Series 8000 BRL166/91. There is no official statement that the TT2000/43 shaving foil fits the Lady Shaver Series 8000 BRL166/91, as compatibility is limited to other model series.
I have the BG2036 and it fits, it's almost the same model. It's also listed as a replacement on the official Philips support page if you do a little googling....