Sorry, but gotta ask more questions. What's the actual result for your T3? Is it Free or Total? Did you have other tests done, along with it, such as Free T4 and TSH? Please post whatever thyroid results you have and include reference ranges, which vary lab to lab and have to come from your own report.
Cortisol levels are not my strong area, but I do know that cortisol should be higher in the morning, as we prepare for the day and lower in the evening as we prepare for sleep.