The apology was issued to Carol Condren and her family.
She has adult spinal degeneration and has said she is in constant pain.
Mrs Condren was scheduled to have an operation earlier this year on the NHS, but that has since been delayed.
The Western Trust said it is working in challenging circumstances, “influenced by the ongoing Covid-19 pandemic”.
The family said it has taken out a £15,000 loan for private treatment.
The Trust said an apology has been offered to the family and contact with them will continue with the aim to “provide surgery as soon as possible”.
Speaking to BBC Radio Foyle, Mr Condren said his wife’s hip pain is “unbearable”.
Mr Condron said his wife has “no quality of life” due to her current condition and said her mental health has been affected.
In January, Mrs Condren went to Altnagelvin Hospital where she was told by her consultant that he wanted her to have the operation within three weeks, her family said.
“He [the consultant] told us he would see us very soon and that was it,” Mr Condren said.
Mr Condron said his wife left the hospital feeling “elated” believing that her operation was going to go ahead.
However, Mr Condren said the couple “heard nothing” from the trust after that meeting.
However, Mr Condren fears that a potential second wave of coronavirus could then push everything back again and his wife will be no closer to getting the operation.
“Do I accept the apology that I got from the trust? No,” he said.
“I didn’t get an apology, I got a bit of rhetoric and I got told the operation could be done within six months, ” Mr Condren explains.
“How many people are going to die from cancer-related illnesses, or are going to go blind because they can’t get a simple cataract operation?
“How many people like my wife are going to be living in agony?” Mr Condren asked.
A spokesperson for the Western Trust said it deeply regrets any patient having to wait “longer than is required to receive their treatment”.
“We will not be providing any further public comment, but will be communicating directly via the family concerned.”
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