How to Remove Unsightly Vein on the Temple?

There are different ways to treat veins n the temples (temple veins) and treatment modality dependson the size of these veins. A picture would have been best for guidance ... but larger ones can be removed with microligation and mirophlebectomy anad smaller ones are obliterated with sclerotherapy. Another way is to use a laser such as KTP 532 nm or 1064 nm laser. 

I would vote against surgery, it is a sensitive area with some vital structures that could accompany that vein.
Find somebody who has a VASCULAR laser to remove it. Or just use make up.