I don't think people are moving too quickly. In the "old" days, there was no online, you had to meet a person in person (often through a "blind" date, where you did not know anything about the person or pick them yourself) and decide, from the first meeting, if you wanted to continue meeting.

It's okay to be nervous about meeting people but just chatting on the sidelines is a bit like the old "wall flower" who stood at the sides of a party and didn't get asked to dance. If you are too afraid, take it too slowly, people will notice that and most will move on to people who don't take so much energy to get to know.