A group of party workers, reportedly owing allegiance to the local BJP unit, held protest and burnt a effigy of Kher.
They demanded that the party's central leadership reviews its decision to field Kher (58), wife of actor Anupam Kher, from Chandigarh.
They said the party should field any of the three local party leaders -- Sanjay Tandon, Harmohan Dhawan and Satyapal Jain -- who were top contenders for the seat.
Both Dhawan and Tandon said they would support the candidate nominated by the party, even as their supporters expressed resentment by staging protests.
Kirron is expected to reach the city on March 18 from Mumbai.
Kirron will be contesting against four-time MP Pawan Kumar Bansal of Congress. Also in the fray are former Miss India Gul Panag of Aam Aadmi Party (AAP) and Jannat Jahan of BSP.