Unlikely that your situation will cause a deportation. You should nevertheless take care of it. You can call the court and ask if you can pay a fine for the bench warrant and a fine for the ticket and many times they will allow you to do that without needing to appear. If they don't, then you should contact an attorney to help you. But again, it is very unlikely a violation such as this would trigger removal proceedings.
USCIS requires a disposition for all criminal offenses before they will adjudicate the residence application. Contact an attorney in Colorado to straighten out the ticket. Sometimes these offenses are charged as theft. The attorney will need to verify that the final disposition does not render you inadmissible.
Please note that this response is for informational purposes only and does not create an attorney-client relationship.
Get married, have your spouse sponsor you for a green card and take care of this other matter prior to your immigration interview.
Mr. Shusterman's (former INS Trial Attorney, 1976-82) response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Shusterman's statement above does not create an attorney/client relationship.