The correct answer is option 4, Shaikh Bahauddin Zakariya, as he was not a Chishti Sufi saint. Let`s look at the options to understand why:

1) Khwaja Moinuddin: Also known as Khwaja Gharib Nawaz, he was a prominent Chishti Sufi saint who founded the Chishti order in India. He is revered as one of the most important Sufi saints and his shrine at Ajmer is a popular pilgrimage site.

2) Baba Fariduddin Ganj-i-Shakar: Also known as Baba Farid, he was another Chishti Sufi saint who lived in the 12th and 13th centuries. He is considered one of the first Punjabi poets and is highly respected in the Sufi tradition.

3) Nizamuddin Auliya: He was a 14th-century Chishti Sufi saint who is famous for his poetry and teachings. His dargah (tomb) in Delhi is visited by thousands of people each year.

4) Shaikh Bahauddin Zakariya: This option is correct, as he was not a Chishti Sufi saint