Should females remain awake the night of Shavuos? (sources please)
See Yeshiva.org here (under heading תיקון ליל שבועות, number 15 [טו]):
לימוד נשים - נשים אינן חייבות בתיקון ליל שבועות, ואם הן באות ולומדות תנ"ך וכד' תבוא עליהן ברכה (שו"ת רב פעלים א, או"ח סוד ישרים, סי' ט).
And here (second paragraph under heading "staying up at night")
Responsa Rav Pa’alim (Sod Yesharim 9) points out that for mystical reasons women who wish to stay up on the night of Shavuot should not recite the tikun
Which both quote from Rav Pa'alim that women should not read Tikkun Leil Shavuos, but staying up is a good thing (although optional).
Looking around online, I see some people say women in their community do stay up, and some say they don't.
As brought on this website:
The Ben Ish Chai said that women should NOT stay up on the night of Shavuos for Kabbalistic reasons.
1Ben Is Chai is cited in the other answer as just saying they shouldn't say the formal kabbalistic Tikkun. Your site may be misrepresenting this.– Double AA ♦Jun 5, 2019 at 11:29