Will it be a bad idea to ask this?

Tldr; I want to ask someone to check out a museum with me but I'm afraid she'll assume it's a date

Sooo there's this lady I met while I was in grad school but didn't know too much about her apart from small talk and all that, we met through my youth fellowship.

The day after I graduated she reached out to me which was weird because we had never texted before even though we had ecah other's numbers through the group chat, and told me that she loved my performance (I sang the national anthem at graduation) and wanted to meet up for coffee. I was still moving off campus into my new apartment so didn't really respond favorably but she was really insistent so we eventually did and had a great time/conversation. I kind of got the feeling that she meant it as a date but I didn't read into it or make any assumptions.

However I had already been on two dates with someone I met on a dating app at that point, and honestly to me our coffee chat felt kind of like a "friends" vibe.

So anyway long story short the woman I have been dating has been kinda flaky, idk. But she did give a reason (say her grandmother is in hospice care and so she had to fly home to see her) and I've toned down how much I text her because I really don't want to bother her (and also can't tell if that's just an excuse, people on dating apps are unpredictable).

Anyway, I only like to date one person at a time, even if it hasn't gotten to the point where you know each other to be exclusive. So I'm still definitely interested in the woman I met off the dating app, and want to keep that going until I'm absolutely sure she's not interested. Since the lady I'm dating left a week and a half ago I've been either hanging out with friends and/or taking myself on solo dates (going to the movies alone, trying new restaurants, etc)

Long story short I want to check out a Black History museum that the woman from my fellowship recommended and would love to check it out with her, because she seemed to know a lot about it. But I'm worried about giving the impression that I'm asking her out on a date. She's a really nice woman and honestly has a great personality, I definitely enjoyed talking with her and getting to know her, and so I don't want to play with her feelings at all. Would it be wise to still ask her to check it out with me or not?

Roadsterrider · 56-60, M

I would say to ask her if she wants to go, agreeing to go anywhere with anyone could be considered a date. Two people doing something together is a date. If she tries to take it to the next level, "Hey, I'm not ready for that." is an easy enough response. Or just tell her you are involved with another woman and you don't play the field when you are involved. She will either respect your feelings which is good, or she will see it as a competition or as a failure for her, which is still good because then you know what kind of crazy you are dealing with.

somedude15 · 26-30, M

@Roadsterrider this makes sense. I guess my biggest thing I need to overcome is my need to please people. When people say your childhood trauma affects how you interact with all relationships in the future, I see it now. I've had trouble saying no to people and in this case my worry stems from the fact that I don't seem to think I have the right to say "no" if she insinuates something romantic.

Roadsterrider · 56-60, M

@somedude15 It isn't like she is going to get romantic in the museum I wouldn't think so anyway. Open with a conversation about what you expect, I am okay with a friendly relationship, but I am involved romantically.