From the wrist to the hand is a narrow tunnel through which tendons and nerves pass in order to supply the hand and fingers.It is a very tight fit and if the tunnel becomes narrowed it can pinch a nerve which will cause burning or tingling.
There are a couple of things you can do to see if it likely to be that.
For the first test, known as Tinel's sign, thump your wrist just below the palm of your hand, where your median nerve is located. Carpal tunnel syndrome is a likely diagnosis if this causes or intensifies tingling, tickling, pricking, or burning sensations in your hand or wrist.
For the second test, Phalen's sign, flex your wrists, palms down, and press the backs of your wrists together. If holding this position for about a minute causes or intensifies tingling, tickling, pricking, or burning sensations, you may have carpal tunnel syndrome
For the third test, elevate your hand for two minutes to see whether this increases your symptoms.
I would advise you to see your doctor to assess whether or not this is carpal tunnel syndrome now so that if it is you can commence treatment now before the burning turns to pain.
I do hope you get it sorted out soon.