I have recently bought a dress in bright pink, but was wondering if I could have it dyed to be a red color. The dress is made of satin, and was wondering if the dress would take the color. I would appreciate any feedback!

If it's polyester, and if you are not already an experienced dyer, with large boiling pots that you use only for dyes, never for food, it's probably not a good idea. See the following page for the answer to your question:
http://www.pburch.net/dyeing/dispersedye.shtml

You may be surprised to learn that satin is a weave, not a fiber. Dyeing requires that you match the type of the dye to the fiber. Satin may be woven from polyester, rayon, nylon, silk, cotton, etc. Polyester cannot be dyed with cotton or silk dye. Cotton cannot be dyed with silk or polyester dye.

If your satin dress is washable and is woven from silk or cotton, a custom dyer will probably be happy to take on the job of dyeing it for you. Contact one of the dyers who list their services on the Custom Dyers Listing.