It is thought likely the ruling body would confirm Ms Moffat's deselection if the local party, which has several hundred members, votes to take that course of action.
In a submission to the NEC, seen by BBC Scotland, the East Lothian Constituency Party raised a series of concerns about Ms Moffat, saying she was not attending important CLP meetings, had kept members out of the loop on constituency matters and was failing to properly campaign for Labour.
The long-running reselection row saw the local constituency party suspended for a period in 2008.
But Ms Moffat, in her submission to the NEC, claimed she had continued to feel "bullied and intimidated" at a CLP meeting she was at, and had attended a further meeting which she described as "very hostile and abusive".
She wrote: "By May 2009, I was experiencing ill health and was on certified sick leave.
"I was given medical advice not to engage in any activity which could cause stress or anxiety. GC (Constituency General Council) meetings fall into that category."
'Solidarity' event
Ms Moffat, who had been in hospital recovering from a brain haemorrhage, told BBC Scotland's Politics Show her recovery had been hampered by the situation.
She said: "So many people have either resigned from positions or even left the Labour party because they're so scunnered at the narrow-mindedness of these small-minded people that they just don't want to be part of meetings like that anymore and, quite frankly, I can't blame them."
Ms Moffat went on: "I've done my job well. I'm proud of the fact that I'm MP for East Lothian, the first woman to ever hold that position.
"I've worked hard at the job, I've got a lot of support out there and I'd be letting them down as well if I was to stand down."
The MP added: "Why should I stand down because a group of bullies are asking me to?"
She also said she had not spoken to Scottish Labour leader Iain Gray - who holds the East Lothian seat in the Scottish Parliament - for "quite some time".
Ms Moffat, who was elected in 2001, would have the right of appeal over a decision to deselect her.
With the election just weeks away, she has also sent a letter to East Lothian members calling for party unity and setting out plans for a "solidarity event".
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.
Bookmark with:
What are these?