Mrs Carter would be sorely missed if stood down, she said.
"We are going to lose our voice in the local body sector. We're going to lose a very strong voice."
Miss Sexton said she would attend next Monday's meeting.
Spokesperson for Featherston Ratepayers and Residents Association (FRRA) Sue Fox said Mrs Carter had been actively involved in the community.
"We'll be keeping an eye on the situation from a FRRA perspective and we'll be sending a representative along to the meeting to observe the proceedings," Ms Fox said.
"We'll be waiting to see what matters of community interest will be on the agenda."
Former Plunket co-ordinator and Athletics Featherston committee member Tiffany North said she was "really surprised" to learn the meeting had been called.
She described Mrs Carter as "really approachable".
On the few times Mrs North had dealt with Mrs Carter, she had found her to be "really informative and easily accessible".
Brenda West, a Featherston resident of 10 years, said she was "shocked" Mrs Carter's chairmanship was on the line.
"I'm absolutely shocked and disappointed in the management of the situation.
"As a resident of Featherston I voted based on my faith that the person chairing the community board was the right fit for the community of Featherston."
Mrs West said Mrs Carter, a friend of hers, always put the welfare of the town first.
"She has been the most active chair I have seen in the last 10 years while I have been living here," Mrs West said. "We are perplexed as to how this occurred."