Yvette Cooper, Labour MP for Pontefract and Castleford, said people remained "furious" about the decision.
She added that the decision had raised concerns about the long-term future of Pontefract Hospital.
Supporters of Lady Thatcher had gathered to watch the funeral at the Conservative Club in nearby Pontefract.
BBC: Margaret Thatcher funeral marked by pit community 'party'
However, Unison's Jim Bell said the trust would not negotiate about the cuts at Wakefield, Dewsbury and Pontefract.
The trust, which runs hospitals in Wakefield, Dewsbury and Pontefract, said it could not rule out making compulsory redundancies.
Pontefract mined its first coal in 1240 and has one large mine left.
The trust, which runs hospitals in Wakefield, Dewsbury and Pontefract, said it had consulted with staff about reducing wage costs.
Twenty-one people were on the minibus heading from South Elmsall near Pontefract, to Liverpool when it was involved in the crash.
BBC: M62 hen party crash: South Elmsall Town Council meeting
They included the failure at Pontefract to identify Mrs Shelton's groin injury, delaying her treatment, and the failure to assess her psychiatric state.
Ms Shelton, who was married and lived in Pontefract, had worked for the South Yorkshire force for 27 years and was a mounted officer.
Twenty-one people were on the minibus heading from South Elmsall near Pontefract, West Yorkshire, for the party in Liverpool when it crashed on Friday.
News of the proposal had drawn criticism from patients and MPs including Yvette Cooper, shadow home secretary and Labour MP for Pontefract and Castleford.
"We need to ask why doctors are not seeking to work at Pontefract Hospital or responding to the recruitment drive they have initiated, " he said.
BBC: Health trust considers Army medics to staff Pontefract A&E
Twenty-one people were on the minibus heading from South Elmsall near Pontefract, West Yorkshire, to Liverpool when it was involved in the crash on Friday morning.
Those balloted included clerks, receptionists, medical secretaries, waiting list and call centre staff working at Dewsbury, Pinderfields and Pontefract hospitals as well as community clinics across the Wakefield district.
Mrs Shelton, an officer with South Yorkshire Police, was admitted to Pontefract General Infirmary and later transferred to Pinderfields Hospital after cutting her wrists and stabbing herself in the groin.
Yvette Cooper, Labour MP for Pontefract and Castleford, said she welcomed any action which would mean additional doctors at the hospital, but she believed it was not a long-term solution.
BBC: Health trust considers Army medics to staff Pontefract A&E
Remploy has factories in Leeds, Pontefract, Chesterfield and Sheffield.
Dr Caroline Pontefract, the director of education and a UNESCO staff member, focused on what the reform is about and how it will contribute to better quality education for Palestine refugee children.
Last week's action by Unison members at hospitals in Wakefield, Dewsbury and Pontefract followed a ballot in October which saw 88% of those administrative and clerical staff balloted voting in favour of strike action.
However, a Department of Health spokeswoman said there was no doctor shortage issue at Pontefract and that the MoD had told her it had received no approach from the Mid Yorkshire Hospitals NHS Trust.
BBC: Health trust considers Army medics to staff Pontefract A&E
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