I don't think she is really that close. And she is not singing directly into the mic. Remember that plosives are caused by a large puff of air from your mouth hitting the diaphragm. If you are above the mic a bit, like she is in the video, the air will go over the mic.
found this with a quick google search:
As always, prevention is infinitely better than cure, and stopping plosives from reaching the mic is really all about positioning. Ideally, the mic should be positioned well above and/or slightly to one side of the mouth. I find that raising the mic to around forehead height works well, as this keeps it away from the track of direct plosive blasts from the mouth, and also encourages the vocalist to stand up straight, which aids their breathing. If the recording environment is adequate, using an omnidirectional mic helps, because it is less sensitive to the pressure changes caused by plosives.
In addition, better singers develop both the singing techniques and the mic techniques to minimize plosives and sibilance. Slightly changing consonants (e.g., voicing "p"s slightly so they sound kind of like "b"s, d for t, z for s), and slightly turning off-axis to the mic for certain parts of the song are time-honored techniques for being mic-friendly. Lyricists will often look for ways to avoid words with plosives in them, since they literally stop the flow of the singing, and also cause the singer's airway to have to stop and restart.
With the right writers, singers, and engineers, great tracks can be recorded without pop filters. But it's rare, these days.