Taiwan's Bureau of Consular Affairs maintains a webpage where visa information for the Republic of China (R.O.C., or Taiwan) is presented in English. That page contains the following, which sets requirements for an Indian citizen (as well as citizens of the other 16 countries listed, which names I've omitted from this Answer) to obtain a visa to enter Taiwan.
"Nationals from the following countries applying for visitor visas to the R.O.C. must fulfill the procedure of this section：
"India (Identify Certificate)
"Nationals of the designated countries may apply for the R.O.C. visitor visas for the following purposes：
Invited by the Republic of China (R.O.C.) government agencies on
Participating in international meetings or activities for the
purposes of religious, athletic, or cultural exchange, which are
held by the organizations set up in the R.O.C.
- Visiting dependents with legal residence status in the R.O.C.,
including spouse, family members of lineal relationship, or
- Conducting economic or commercial businesses.（including accompanied
spouse and children...
Crew members intending to come to the R.O.C. to report for duty.
Unless your planned trip to Taiwan fits within one of these six categories, you will not quaify for a visa.