Will a same sex relationship with an Ecuadorian and debt either affect my K1 visa process?

I do not think this may be an issue. But you do need to have current income or a joint sponsor.

Generally, a U.S. citizen may sponsor a fiance through a K-1 visa so that the foreign national may enter the U.S. and become married within the required time, and neither a same sex nor an opposite sex relationship should interfere with that, nor should the U.S. citizen's financial debt interfere with that. Following marriage, the U.S. citizen may sponsor a spouse for adjustment of status to become a U.S. Lawful Permanent Resident (to get a "Green Card"), but if the U.S. citizen does not have sufficient documentable income to meet the requirements, then a "joint sponsor" may be needed. Generally a joint sponsor may be any U.S. citizen or Permanent Resident who has sufficient documentable income and who is willing to assume the responsibilities on the Affidavit of Support form. It would be wise for you and your fianc? to consult with an immigration attorney who, after learning all of the relevant information about both of you, will be able to advise about immigration eligibilities, options and strategies, and will be able to offer legal representation in the application process (which often can be considerably more complex than it may seem simply from reading the immigration forms or reviewing USCIS or other websites).