For a typical 30+ yo woman I'd agree with you. But the OP has NO dating experience. As long as she goes in with little expectations etc it's a good place to start learning how to "date" IMO.
OP - I am going to be blunt. PLEASE PLEASE PLEASE "hear" what I am saying and not focus on being hurt by how I may say it.
You have no experience. Because of that your thought process is a little immature regarding all of this. You are approaching this like a teenager - because teenagers also have no experience with real relationships. You have missed a whole decade + of experience that you have to work around now.
My cousin was like this. She spent her entire 20's always being the third wheel. Never had a boyfriend, never had a date. There were many many reasons for this. Her focus on her career, her appearance and how she felt about it etc. When she was 32 she decided enough was enough. She changed her appearance as much as possible, focused on trying to feel good about herself and tried online dating. Unfortunately......sigh....... she approached it like you are. As a mature woman but in an inexperienced (immature) way

She had no clue about how to date, what the natural progression of a relationship was etc. My sister and I were cringing over it all. How fast she was trying to go. All the plans she had in her head after only one online encounter. Imagining what their children would look like together. getting giddy over the smallest thing. This is not normal for adults and was a huge turn off to the guys she was trying to date. She had a few first dates but only first dates. Every single time she was convinced he was the one and they did not call back - she was devastated. (She's in her 40's now married with 2 little girls!)
She was too desperate and too immature in her approach because she honestly didn't know any better. It was a teen in a woman's body. PLEASE listen to what people are trying to tell you. We honestly are trying to help. What you are doing is NOT WORKING and there's a reason for that.
Your inexperience is not a reflection on you as a person. It just is what it is. No fault of your own. It's just a fact. We are not trying to insult you by pointing this out. We are trying to help.
Swooning and blushing - not normal for a 30+ yo woman. Thinking it's difficult to ask somebody if they are seeing somebody else is not normal for somebody your age. Formulating a relationship in your head over a look in church - not normal
Ask this guy out. Don't approach it as if it's a date. Ask him if he wants to go to a concert or the museum etc. Convince yourself you are spending the day with a really good friend who just happens to be a guy. While you are passing time together see what happens. Don't get giddy. Don't plan your wedding. Don't ask him to watch TV and do a puzzle together(That's a huge red flag to a guy at this stage. It's too "comfortable" and not something you do until you are well past the "Dating" stage.) Just go, be with a friend and see what happens.