New York's medical marijuana legislation does not include the use of extracts in veterinary medicine, and only applies to the treatment of selected conditions in human medicine. The NYSDOH has said (see http://www.thecannabist.co/2017/06/20/cbd-medical-marijuana-new-york-cannabidiol-cbd-oil/81926/):
"New York State’s Medical Marijuana Program regulates the manufacture, sale and use of medical marijuana in New York State. Approved medical marijuana products sold by organizations registered with the State’s Medical Marijuana Program (ROs) often contain CBD. However, products purchased outside of the ROs that claim to be “CBD oil” or “hemp-derived plant extracts” are outside the purview of the State’s Medical Marijuana Program and may be of unknown content and quality."
As for the DEA, they have clarified their drug code for marijuana extracts (see https://www.deadiversion.usdoj.gov/schedules/marijuana/m_extract_7350.html, footnote 5). There's an article that attempts to clarify the DEA's clarification at https://hightimes.com/news/politics/dea-cbd-oil-is-not-legal-in-all-50-states/.
Please also see our article about the use of hemp and hemp derived CBD products.