Oh, my, this needs a woman's perspective...
@Tony Ramirez, I just couldn't log out without weighing in first.
So, let's review the facts:
1.) you're at church, perhaps a luncheon (due to the sandwiches);
2.) after the luncheon, you approach two women who are talking (kudos, by the way--very brave of you)
3.) you introduced yourself after asking one of them what they were talking about
4.) the one tells you what they were talking about
5.) then they left
6.) and you take that as rejection
The easy answer is, maybe it is & maybe it isn't. I'm just going to toss a whole lot of crazy ideas out there, so let's see what else we find.
Regarding
premise 1,
...luncheons always draw in people from outside of the church. How do you know they weren't just crashing the luncheon?
[guilt; therefore not rejection].
...What if they had been invited but weren't really interested in meeting any new people?
[shyness; not rejection]
...What if they are church members but needed elsewhere?
[busy; not rejection]
2. What if...
...it was a private conversation?
[Rejection; Change topic next time to something that establishes common ground]
...they're visitors & not used to having their conversation walked in on?
[Rejection; establish common ground]
(Personally, just about any public spaces conversation at church is open to people coming and going so I think there has to be a better reason than these.)
3. What if...
...Good job introducing yourself! Just be sure and do that before asking them what they're talking about.
[Change order of introduction]
...you take pressure off of women to involve you in their prior conversation by starting a new conversation that includes you: "these were great sandwiches. Do you know what deli catered them?" <-- that, seriously, is not something a guy would think of.
[You changed the topic to a common ground topic]
...you stand back about thirty seconds in order to catch a line or two so you can open a little less directly: "I couldn't help notice you were talking about ____. I had a cousin who was into that!"
[You charmingly include yourself in the conversation without introduction but also without asking. Shows confidence and self-assurance.]
4. What if...
...how were your listening skills? Were you an active listener, or a passive listener? Passive listeners just nod; active listeners ask questions about or reflect back what they've just heard or reflect . "That must have been difficult for you..."
[I get it; guys just don't talk like this. This is why I felt compelled to help you out!]
...she told you what they were talking about. Awesome! Then what happened? How did you reply?
[Keep it light & keep it positive.]
...women love talking about themselves. If you're not sure how to respond, just relate it back to the woman and ask her how she would have handled that situation. Let me tell you, she'll take the next forty-five minutes telling you, too.
[I.e., be prepared to listen, even at the risk of boredom.]
5. What if...
...they were just rude...
[not rejection]
...they were keeping to a schedule and were late for somewhere...
[not rejection]
...they were in their little world and didn't read the cues that said you were interested in talking with them
[not rejection]...
...they read the cues that you were interested in talking with them but were not interested in talking with you
[rejection]...
What I hope you get from all this is that there are a myriad of alternatives that do not all lead to their rejecting you. They're busy, it was private, they're snobs. I mean, it all goes as possibilities. Actually, very few possibilities do lead to rejection. And you know what? Rejection is okay. if you want people to accept you for who you are, you have to accept them for being them, too. And if that's just the kind of person she is, then walk away & don't worry about it.
Kudos to you for walking up to them and saying hi! Just consider it a little bit of practice for the next luncheon.