Ok, I asked the Omniscience AI and it stated the obvious:
Cloudiness indicates that the TA-1 molecules clumped together instead of dissolving. When you reconstituted the freezing cold powder, a significant portion of the Thymosin Alpha-1 molecules collapsed and clumped together (precipitated) because cold temperatures decrease peptide solubility. Because these clumps were large enough to scatter light, the 0.22-micron filter likely trapped and removed those un-dissolved clumps.
Because an unpredictable amount of the peptide clumps was filtered out, your final solution is likely under-dosed. You cannot accurately know how many milligrams of TA-1 are left per milliliter.
Because the solution was originally cloudy from being mixed while cold, the exact composition of your clear 5 mg/mL solution (10 mg in 2 mL BAC water) remains highly unpredictable.