Harpsichords can very much depend on the instrument and how you are listening to it. Harpsichords often have different timbres (like a unique sound signature), and so recordings with different instruments may sound different. I mention this, because even if you dislike the sound of this instrument, it doesn't mean you will dislike others. it could also just be the way this particular instrument was recorded. I don't own it, so I can't check.
Another thought is to change the equalizer and fiddle with different settings on the sound. Maybe reduce the reverb or some of the settings that emphasize this frequency. Alternatively, perhaps use headphones or stop using them or use different ones (just to see if that changes anything). If you do find a different setting that works, save it (in some way) for next time. I can't tell you how many times I've fiddled with something at some point only to change it later and forget the starting point.
Having said all that, you might just find listening to this harpsichord (or harpsichords in general) fatiguing (a minute is fine, 5 not so much). In that case, there are many other alternatives played on either modern or period instruments that might suit your ears better.