As one more random data point: I am a chatty extravert. Sometimes people imagine they are close to me when they are not.
Ah yes, my greatest fear interacting with people confirmed.
I have had genuine friendships and other close relationships with introverts. I know how that plays out and that can work. Problems arise when people get weird ideas like because they talk to me once in a while, they have some special claim on me and I am not supposed to have other friends.
Keep in mind that it takes two to tango, even platonically, and if you like dancing with this person but they like dancing a lot more than you do, it is not reasonable to expect them to sit on the sidelines waiting for you. Let them dance with other people in peace at times when you don't want to dance anyway. It isn't taking anything away from you if they are consistent about being available for you when you need a friend.
Just wanted to share that, since your comment summarized my impression of her so perfectly!
Ultimately if/when some other people don't like you, well, that doesn't define who you are as a person or that you need to be fixed. It's just not the right fit between you, and that's nobody's fault. It's going to happen, and it only matters as much as you decide it matters. It really doesn't need to matter!
Be yourself, focus less on your perceived shortcomings/insecurities, and focus more on improving other people's day.
Unlikely. After all, they'd expect you to act the same way as them -- friendly despite not being a friend.
You start with a case where the Yes or No are equally probable. Then you apply functions to this system that may or may not change the outcome to the "Yes" state. And then you make the measurement.
No matter how many times you have applied that function there's always a probability the person in question is lying, or otherwise - there's always a possibility a person is simply afraid of opening up and is hiding behind politeness.
Point being - you can't analyse it too much. You can't make progress in science without experimenting. Neither can you progress in relationships. Sometimes it backfires. Sometimes it may even backfire more often than not. But it still is working with experimental data.
But unless you're absolute strangers, I don't think many people are going to think "weirdo", they'll just be slightly surprised.
You don't need to be best buddies with someone to call them for a beer.
In fact calling a new acquaintance for a beer is how many friendships actually get build.