Is it possible to remain friends? How to fix this with my wife?

Hey Reddit, I’m struggling a bit with a situation and need some perspective.

So, I’m married, and there’s this woman I’ve met at a bar a few times. My wife doesn’t like her. They met once, and my wife felt she was rude and dismissive. She felt I was spending more time talking to the woman (about 3-4 hours) and felt it was embarrassing because her friends noticed. Since then, my wife’s been clear she’s uncomfortable with me hanging out with her.

Last week, I ran into her again. She mentioned she’s now open to dating new people, and I got butterflies but ignored it. We mostly talked the people she’s currently dating and I offered to be her wingman which she said I’d be doing a lot. About 2 hours later she went to leave to another event and I jokingly asked if I could go with her. She said yes and we went together. She introduced me to everyone, and I danced with her and others. Later we shared a cigarette while it rained. I invited her to another event next week.

Nothing physical happened, and I know she’s not interested in me romantically. I suppose I see it as this woman has great boundaries so she'd never hit on me. A few weeks ago she was telling me a story about people seeing her naked and I joked about seeing her naked. She just said "you're married" then moved on. She's even said she's not interested in cheaters the second time we met.

So here’s my question: even though she’s clearly not interested and nothing romantic happened would you consider this a “date”? Or is it just a friendly outing that felt emotional/romantic from my side? I’m struggling to categorize it because I feel guilty about the excitement it gave me, but I also know she wasn’t flirting or pursuing anything.

Thanks in advance for helping me think this through.

TL;DR : I hung out with a woman my wife doesn’t like. Some people called this a date but I don’t think so?