Would this be considered cheating?

My wife sometimes goes on business trips to conferences. She told me how on 2 different trips she's gone out for drinks, her and a man, and talked until the bar closed. About work, life, travel, etc. The first trip, she was with her boss, and did this 3 different nights on the same trip. The second trip, she met a few people in the same conference and joined them for dinner. Men and Women. After dinner she asked all people at the table if anyone wanted to go for a walk. A man said sure, no one else went. She said they walked for a bit then went for drinks and again she closed the bar talking with this man she just met. She did the same the next night with the same man. She's always mentioned to me that she'll be with me forever, that she doesn't believe in divorce. She came home after that second trip and we talked about our marriage. She told me about what happened and said that these times talking with other men has made her realize there could be/or are other men that she could like out there. That it opened her eyes to why people sometimes get divorced. They can grow apart in their daily lives in their marriage and end up meeting someone. Would the act of going out to a bar with another man, more-so, a man she just met and closing the bar talking about more than just work and how their weekend was be considered cheating? There's just something unsettling about the whole thing. I feel hurt. I feel afraid of her meeting other men on these trips and having too many drinks and it going further than just talking. Am I justified in my feelings?

In some ways yes you are justified however marriage is built on trust. Has she reassured you that nothing would ever happen between you? Did you tell that you feel hurt about her meeting other men? Have you had problems or other issue's in the past with your marriage? Some here might suggest marriage counseling

She "your wife" talked about growing apart. That I would say is a message about how you need to communicate more in your marriage. I don't know how long you've been married but quite possibly she's telling you that you've grown apart. Sometimes one or the other becomes complacent in their relationship or marriage and think everything's fine no worries. This is not uncommon almost half of divorce is a result of growing apart. Tell her to forget about going on these business trips one time so you can take her out to dinner or go somewhere. Have some quality time with each other