Maharal (Nesiv Pirushus 1): discusses the idea of kedusha as a distancing from gashmiyus based on Yevamos (20a) where Rava says that a person should sanctify himself by restricting things where are permitted. The Maharal adds that someone who works on avoiding or minimizing gashmiyus not only has the attribute of kedusha but is called a kadosh. He notes that being a kadosh is being like an angel who has no connection to gashmiyus. Kedusha comes from minimizing such material activities as eating or sexual involvement
I couldn't find the concept of kadosh applied to women but it seems exclusive to men. On these lines is the fact that a man wears a kitel on Yom Kippur to be like an angel - but not a woman because the Magen Avraham (610:10) says that women can not be like angels.
Magen Avraham[1](O.C. 610:5): To be like angels – according to this women should not wear white on Yom Kippur because they can’t be like angels as it states in Misheli (21:22) A wise man scales the city of the mighty men. [This refers to Moshe going to heaven to be with the angels] It refers to the Heaven as the “city of the mighty men”. Thus only men are capable of being like angels
[1] מגן אברהם (תרי:ה): דוגמת מלאכי - ולפ"ז אין הנשים לובשין לבנים דאין יכולים להיות כמלאכים דעיר גברי' כתיב כמ"ש מט"מ גבי טבילה ומ"מ הקיט"ל יכולים ללבוש שיכנע לבם, אפי' מי שלובש שק מחמת תשובה אסור ללבשו ביה"כ (ס"ח תרט"ו ר"ש הלוי סימן ו'), איתא בילקוט שופטים דף ט' ע"א לעשות פתילות עבות בבה"כ
Vayikra Rabbah[1](31:5): R. Joshua of Siknin in the name of R. Aha cited, A wise man scaleth the city of the mighty--gibborim (Prov. XXI, 22).1 The written form is gebarim (men), for all of them are males; there are no females among them.
[1] ויקרא פרשה (לא:ה): ר' יהושע דסכנין בשם ר' אחא אמר (משלי כא) עיר גבורים עלה חכם גברים כתיב שכלם גברים ואין בהם
It seems clear from Bereishis (6:2) which discusses fallen angels as being male and sexually active - that fallen angels are men. So just as men can elevate themselves to be a kadosh i.e., angel, Angels can degrade themselves to be men.
This seems rather strange to me since I don't know of any other mida which doesn't apply both to men and women. It points to a very fundamental concern when trying to understand the distinction between men and women.
I would appreciate any references to this matter - either in showing me that being a kadosh applies also to women or in showing me sources that reinforce this distinction. Alternative showing that women can reach the level of angels or show additional sources that they can't.