I have seen some pretty damn strong natural females who can lift more than me and lots of other males. The interesting part is that people are always associating testosterone with strength in some way (muscle, size, recovery, potential to be stronger, more energy, etc.), but the average guy, on average, would have anywhere from 5 to 20 (or more) times testosterone than the average woman, on average. It's beyond unlikely that any natural female powerlifters with good numbers have the same or greater testosterone than the average man would have, but could best him in few feats of strength (namely the squat and deadlift, for examples). Some 120 lb. natural women are squatting 300 + lbs. and deadlifting around the same or more too, which are numbers no average man would even budge in the majority of cases. If testosterone was as tighty-correlated to strength as some would make it out to be, it would make no sense that natural female lifters have numbers and power higher than plenty of average males who would have more testosterone likely.
Also, quite a few of these phenomenal, natural female lifters have less muscle mass than the males too, but are probably lifting a little more, and lb.-for-lb. it's extremely impressive: e.g.:
120 lb. woman deadlifting 360 lbs., squatting 320 lbs., and benching around 160 lbs. maybe.
All of these above lifts are probably greater than what many average men could do at his best, especially the squat and deadlift, which are significantly greater than what most average could do.
Assuming this woman is 120 lbs., it's unlikely her forearms are larger than maybe 12 inches, and quadriceps larger than 28 (a lot of average men can easily be larger than this at average weights).
So if a 120 lb. smaller, natural (no enhancement) female can have LESS testosterone and LESS size but still have more power easily than average guys (who probably bench 100-130 lbs., squat 150-200 lbs., and deadlift maybe 220-240 lbs. at the most in the majority of observable cases) it is clearly seemingly that strength has no tight link with testosterone or size, or else reality would fail.