I have to make clear that my comments are going to be on the basis of the reference ranges I'm familiar with, so my conclusions could be very wrong. For example, Free T4 could have a reference range of 7 - 14 or 12 - 22 or something else entirely. With a result of 12 your level could be in the upper half of the range or right at the bottom. Further testing could also show your levels of hormones fluctuating and leading to different conclusions.
Please note that thyroid hormones (Free T4 and Free T3) are produced by the thyroid. (Stating the obvious!)
TSH (Thyroid Stimulating Hormone) is not a thyroid hormone it is produced by the pituitary.
Assuming the reference range for Free T4 is 12 - 22, then your Free T4 is right at the bottom of the range.
Free T3 often has a reference range of 3.1 - 6.8. Your Free T3 is below the middle of that range.
Your TSH is very low for someone with such low Free T4 and Free T3, we would normally expect someone to have a higher level of TSH with low Free T4 and low Free T3.
The higher the TSH the more thyroid hormone ought to be produced. When someone's thyroid is damaged it is unable to produce sufficient thyroid hormones. So TSH gets higher and higher trying to prod the thyroid into producing more thyroid hormone. This situation occurs in primary hypothyroidism, which is the most common form of hypothyroidism. The results seen in testing are high TSH, low Free T4 and low Free t3.
In your case it would appear likely that your pituitary isn't capable of producing enough TSH, so your thyroid simply isn't being told forcefully enough what to do. Your thyroid may even be completely healthy. The issue is with your pituitary. This condition - low TSH, low Free T4 and low Free T3 - is referred to as central hypothyroidism.
The organ which tells your pituitary what to do is the hypothalamus. It's a cascade of instructions - the hypothalamus tells the pituitary what to do, and the pituitary tells the thyroid what to do. Any step in this process can go wrong.
If the thyroid fails this causes primary hypothyroidism.
If the pituitary fails this causes secondary hypothyroidism.
If the hypothalamus fails this causes tertiary hypothyroidism.
Secondary and tertiary hypothyroidism are collectively referred to as central hypothyroidism.
In each case the end result is the same. The thyroid doesn't produce enough thyroid hormones. And in each case the treatment is the same. People have to take the missing thyroid hormone(s) in pill form.
I think you probably have central hypothyroidism. Either your pituitary or your hypothalamus is malfunctioning. The end result is that your body cannot or will not produce enough TSH to instruct your thyroid properly.
Whatever you do, don't let anyone tell you that you are hyperthyroid (have an overactive thyroid).
Don't let anyone put you on drugs such as carbimazole which is for treating overactive thyroid, because you don't have it. People with hyperthyroidism have a low TSH, high Free T4 and high Free T3.
If you were given carbimazole for hyperthyroidism your thyroid hormone would end up severely suppressed below the reference range and you could go into a coma.
Whatever you do don't let anyone give you RAI either, which is another (permanent) treatment for hyperthyroidism which will kill off your thyroid. There is no reason to remove your thyroid either unless you develop cancer or thyroid nodules that are dangerous to you for some reason.