Is it permissible to recite Surat Al-Ikhlas ten thousand times for a specific intention, based on the guidance of a female shaykh?

Reciting Surat al-Ikhlas is permissible and is equivalent to one-third of the Quran. However, there is no specific virtue for reciting it a particular number of times, and believing so may fall under the category of additive innovation (bid'ah idafiyyah). Your aunt should be advised of the necessity of adhering to the Sunnah and seeking knowledge from its rightful sources.