@Authn it was covered briefly in chapter 4.5. She made a beeline for the bay/ocean/river to cool her head until she wasn't kaiju anymore. Nothing significant happened as a kaiju this time so it got glossed. Though with the special task force being formed, I imagine the NEXT incident is gonna be a bit hairier.
Guy Tip: Setting aside those who go in drag, the places to which males — even metrosexuals — go are not in English called “beauty salons” or “beauty parlors”. One might be called a “stylist['s]” or “hairdresser['s]” or “hair[dressing] salon” or “barbershop” or a “barber['s]”. Even if the Japanese use the same term “美容院”, a translation into English needs to differentiate.