the beginning or the end of a relationship? ❤

Okay so I have been dating my boyfriend almost around 2 yrs and been in a long distance relationship. However, lately at work there is this guy that asked me to go out with him. I agreed the first time since for me I thought about having a new guy friend. That night we went out to dinner and had a great time. He was respectful always but specially when he was about to kiss me. I reminded him that I have a boyfriend and that he should respect me for that. He pull back and said that this wouldn't stop him from going out with me again in the future. Anyways from that day on he has texted me every other day. I talked about with bf because I trust him and open with him about everything. He replied that he trust me but don't trust him. Now my question, should I continue going out with this guy or ignore him completely?