Wow, that's a lot of prescriptions!    If you have adrenal fatigue, taking T3 could make it worse.  You body is downregulating your thyroid to protect your adrenals.

http://www.nihadc.com/health-programs/metabolic-therapy-thyroid-adrenal-hormo...

If both the thyroid and the adrenals are weak, adrenal repair must precede thyroid repair (see Metabolic Scorecard™ to determine whether problem is adrenal, thyroid, or both). If the adrenals are weak, then even normal thyroid activity places an excessive burden on them. One may begin to feel ‘hypoadrenal’ (coldness, weight loss, dryness, fatigue, insomnia, and/or anxiety) and then the body innately turns down its own thyroid energy production by increasing production of RT3. Conversely, if the adrenals are strong and the thyroid is weak or unable to keep up with the adrenals, one begins to feel ‘hypothyroid’ (heat intolerance, weight gain and fluid retention, tiredness, excessive need to sleep and/or depression). A very common error made by medical practitioners is to focus entirely on the thyroid and ignore the adrenals.  In a weakened adrenal state, prescribing thyroid medication that contains T4 and/or T3 may produce limited or transient improvement. Subsequent increases of the dose offer little or no benefit as the medication pushes the energy machinery into overdrive. Unfortunately, this higher energy level is unsustainable due to the stress on the adrenals. Eventually the adrenals become fatigued and the symptoms of low energy return. If, however, the adrenals are functioning well, the thyroid hormones can do their job and the result is good metabolic energy.
Another way of looking at this thyroid/adrenal relationship is to think of the thyroid as ‘generating’ the energy while the adrenals need to be able to ‘handle’ the energy. If the thyroid generated energy is excessive for the adrenals’ ability to handle it, the body will down-regulate the thyroid energy as much as it is capable of doing to accommodate what the adrenals can safely handle.

I have a low body temperature too.  But taking Armour Thyroid and Iodoral nearly fried my adrenals.