Should a woman who cannot immerse in a mikvah on Erev Yom Kippur perform Tisha Kabin purification instead [i.e. taking a shower for several minutes]?[1]

Yes, this follows the same law as men, as explained in Halacha D in the Q&A. If a woman cannot immerse in a mikvah on Erev Yom Kippur, she should have the intention of purifying herself from impurity by taking a shower for several minutes.

[1] Why a woman should do Tisha Kabin (shower) if Mikveh is unavailable on Erev Yom Kippur: Although immersion in a mikveh on Erev Yom Kippur is primarily for the purpose of Teshuvah—a spiritual preparation equally relevant to both men and women—there is an additional halachic consideration regarding purification from Keri. In cases where a woman is unable to immerse in a mikveh, she should perform Tisha Kabin, which involves standing under a continuous shower for several minutes with the intention of purifying herself from Keri. While this practice does not fulfill the Teshuvah-related aspect of mikveh immersion, it still serves to purify her halachic state. This is especially pertinent for married women, as noted by the Alter Rebbe (Admur), who requires them to cleanse themselves from any residual semen prior to Yom Kippur. [See Admur 606:11-12; M”A 606:8; Mateh Efraim 606:8; M”B 606:21]