Hi Westside,
Whoever tested your athlete did a good job of estimating her "threshold" at 6:05 per mile pace. That's quite reasonable for a 10 flat 3000 meter runner.(I calculate 5:58 to 6:06 per mile for that caliber of runner, depending upon which method of evaluation is used to interpret the data.)
Background information:
Lactate tend to be higher for runners nearing their potential. Certainly, muscle fiber population, catecholamine levels, (such as epinephrine and norepinephrine), gender, and nutritional status (consuming more carbs in one's diet elevates blood glucose level during exercise than consuming more fats/low carbs) influence results too. Anaerobic capacity would be a factor (rate of glycolytic regeneration) too.
Given the details you provided, your runner may have been nervous - while at rest, so baseline lactate value was higher than is typically observed: typical is 1-1.5 mmol, sometimes lower. Diet may be a factor in her baseline and exercise values. She may have a high percentage of type II fibers (faster fibers), to, which would explain the high lactate threshold value (5-6 mmol).
It's not true that "threshold" is 4 mmol. That's a ballpark average. A runner possessing a high percentage of type I fibers (slow twitch) might present a "threshold" of 2.5-3.5 mmol. A 400 meter sprinter might present a "threshold" at near 6-7 mmol.
As an aside, threshold is a term that has more than one meaning. Some researchers refer to threshold as 1 mmol above baseline level, so commonly around 2 to 2.5 mmol. Other researchers refer to the 2nd "break-point" threshold as LT, or they label it as LT2. Some people in the exercise science field use maximum lactate steady state as the threshold, employing a repeated test of 20 to 30 minutes, escalating the intensity of each subsequent test over several hours or days.
My observation is that females at the 18 flat 5km performance level demonstrate a LT2 in the range of 83% to 86% of V.O2 max/peak. That's equivalent to 6:09 to 5:58 per mile. Thus, the prediction that your runner's "threshold" is 6:05 per mile what I suggest is realistic.
Regards,
Tom