Hello there,
If I understand your statement correctly: Your primary office location is in NYC, but you relocated to Denver and have been telecommuting from a home office in Denver. Which means that you now live in Denver but work in NYC?
If this is the correct scenario, then you should continue to pay NYC taxes. You will also need to file a Colorado part-year resident state tax return and report the same income that you earned from your NYC job during the second half of the year. The income is subject to Colorado taxes, but Colorado will give you a credit for taxes paid to NY.
The applicable rules for NY are available on this link:
https://www.tax.ny.gov/pdf/memos/income/m06_5i.pdf
If on the other hand, your employer considers that your primary office is no longer in NYC, but is now in Denver, and you are in Denver because your employer needs you to be in Denver, then you should ask your employer to stop withholding NYC taxes, and start withholding Colorado taxes.
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