My sims dating online
Practically speaking, this means Becki can immediately call Hunter up and start chatting the night away.Nothing is guaranteed; he won't immediately come rusing over even if she invites him over, since their relationship score is still 0.
Accepting the request simply adds the target as a contact in your Sim's relationship panel.
Attraction has the side-effect of motivating the townies to ask your Sims out on dates somewhat frequently.
Other Sims don't respect your vows, so you may get a lot of calls asking your Sims on a date even if they're married.
Becki isn't that cynical with life (at least not yet), so she clicks the "Send Message! We don't get to select what precisely the message says, but it's a way for Hunter to know that Becki is interested in him. Pyro, meanwhile, divorces Asewuk and kicks her and their Alien baby out of the Towers because they "fulfilled their purpose." Becki doesn't know what that meant but hopes she doesn't end up like those two, so she goes to the computer and selects the "Check Messages" interaction (from the "Online Dating..." category). Sometimes it doesn't take any effort; we can see here that Tom and Odin both contacted Becki without her making the first move.
But she wanted Hunter, and Hunter indeed has (in his own way) said that they just might be compatible!