I have white spots on my teeth and I don't want my teeth whitened can veneers be yellow? (Photo)

Microabrasion is one conservative and cost effective option and can help remove the white spots. There is a product out that I use called "Icon" by DMG America that you can have your dentist get for you. It works well on white lesions. 
If the white spots are deep, another option is bonding, where the white spot is removed and a matching tooth coloured filling material is placed to blend in with the surrounding teeth.
Looking at your teeth, porcelain veneers can easily be crafted to naturally match your teeth with minimal to no tooth preparation. It definitely will cover the white spots and is your most expensive option. 
May advice is to try the conservative approach first!

Hi:You can definitely do veneers that match the color of your existing teeth and covers the white spots.  Best,Dr. Maddahi

Hello,
The white spots are removed with a process called microabrasion giving excellent results. Hope this help you.
Dr. Franco
DentArtist Clinic

Yes, you could so veneers, but some simple ICON (DMG America) or composite bonding will fix this problem for a fraction of the cost of veneers.