Since you were given an appearance ticket and not taken into custody, this does not constitute an "arrest." However, there could be significant collateral consequences that are both case and fact specific and some provisions of that statute provide for jail time. You need to retain an experience criminal defense attorney there in Danbury who also is familiar with driving related offenses to both advise and represent you. If you are convicted of a crime - and some sections of that law are in fact criminal provisions - it will in all probability show up on a criminal record search. Don't gamble with your future, invest in yourself now and get this resolved properly, which means, get an experienced attorney working for you ASAP.
This response does not signify the establishment of an attorney-client relationship.
Whether you were arrested depends on the facts of the encounter with the officer. You should contact a local attorney to discuss your case.
Please note that this answer does not constitute legal advice. It is merely intended to provide general information to aid the poster in finding answers to the problem posed. This answer does not create an attorney-client relationship. In most cases, it is best to contact an attorney directly to find answers to your problems.