Vahe Melkonyan, MD

It should be very safe for your condition. However is you myelitis, your professional should meticulously examine your symptoms and objectively assess the outcome of treatment as may of symptoms may not related to varicose vein disease.

The options are (a) microphlebectomy, i.e. physical vein removal from tiny holes. (b) Sclerotherapy (injection) might be an option too, however as I see the vein is pretty large and you may need several injection sessions and the treatment maybe associated with some post injection discomfort/pain (phlebitis) and temporary local discoloration. Please note the area closer to elbow cannot be treated due to conjunction of some vitals vessels there.

Most of the larger (blue) veins can be removed with sclerotherapy injections. For very superficial, bulging and curly veins microphlebectomy is an option too. With both procedures excellent and permanent results can be achieved.

You might have a lot of bruising, discoloration at the site of injection right after sclerotherapy. The injection sites might be tender and "hard" on palpation. Usually those are normal findings. Continue with compression, avoid direct sunlight you may also consider local Arnicare cream.

Dupplex ultrasound can give the exact answer if that is vein or artery (if it is pulsating most probably thats a branch of temporal artery).
I dont believe if there is a safe solution to remove artery in that area. In case of vein, you can vein surgeon for sclerotherapy or microphlebectomy. Both workwell when done by experinced specilait.