In this case, is it okay to lie to save from embarrassment or criticisms?

Have you ever told a lie to save from embarrassment? Or if it is a topic that you know others will criticize you for, have you lied to them? Maybe it was to save from a long explanation.. Do you think it’s okay?

My friend’s cousin, somewhat discreetly, decided to try out a dating site, despite knowing that the people around her think dating sites are for desperate people without credentials. She did end up meeting someone that she likes and is currently seeing. But apparently she’s been telling everyone they met at a bar, instead of the truth about them meeting online. The guy is okay with the truth, but the girl is making him lie to everyone as well about how they met. Is it a big deal?

I’ve been having a debate about this with my friend. What do you think? Is it okay for my friend’s cousin to lie to everyone about how they met since the people around her are judgmental and critical? There’s probably a “I told you so” if they don’t work out as well.