You may apply for a tourist visa. The issue you will likely face is you are inadmissible for at least one reason. You are inadmissible for a period of ten years, because you were ordered removed. You may also be inadmissible for ten years if you accrued more than one year of unlawful presence. It is not clear from the information provided if you are subject to this bar. However, it does appear the government's position will be you are subject to the unlawful presence bar. You can apply for a waiver of the unlawful presence bar as well as ask for permission to reapply for admission after removal. If these applications are approved, you can be issued a visa. I encourage you to consult an attorney about the waiver. In the interim, you can read about visitor visas at http://myattorneyusa.com/travel-visas.
Answered on Jun 02nd, 2016 at 3:08 PM