Without going into what is said to be acceptable standards of research etc., I have tried to make a timeline of this issue.
First of all it seems that on other occassions Priscilla Coleman has had her research challenged.
Her research has mostly met with a poor reception from her professional colleagues, and at least one of her manuscripts (originally published in Frontiers in Psychology) was retracted from the scientific literature due to not meeting the standards of the journal.
And a quick google reveals that over the years she has mainly spoken at pro life events.
The specific research paper in the news story was challenged at the time.
The Royal College of Obstetricians and Gynaecologists noted that Coleman's results conflict with those of four previous literature reviews, all of which found that women who have abortions did not face an increased risk of mental health problems. The College suggested that Coleman's results were due to her failure to control for pre-existing mental-health problems, which tend to be more prevalent in women having abortions. This meta-analysis was also criticized by Julia Steinberg and a number of other researchers, who wrote in 2012 that it contained seven significant errors, as well as three shortcomings of the included studies. Steinberg et al. concluded that these errors and shortcomings "render the meta-analysis’ conclusions invalid."
https://en.wikipedia.org/wiki/Priscilla_K._Coleman
And also https://www.ucsf.edu/news/2012/03/98547/link-between-abortion-and-mental-health-problems-debunked
And in a US court last year:
In an August 2022 Michigan court case challenging a 1931 abortion ban, Coleman was hired by abortion opponents to provide testimony. The judge in the case, Jacob James Cunningham, stated: "Dr Coleman's testimony is dismissed as not credible, in a practical sense, completely called into question during cross-examination, nor helpful in assisting the court in defeating the plaintiff's request for a preliminary injunction. The court affords testimony no weight," and also stated: "Specifically, testimony established that 22 studies were aggregated in the metadata study. Of those 22, 11 were authored by the witness and only 14 data sets were used. Presumably, the testimony revealed 11 of them created by the witness herself."
https://en.wikipedia.org/wiki/Priscilla_K._Coleman
And in another instances has threatened other journals thinking of retracting her articles with legal action. https://retractionwatch.com/2022/11/09/author-critical-of-study-involving-abortion-hires-lawyers-after-journal-flags-paper/
In 2022, with the research influencing women's healthcare in the US, some of the same scientists wrote again to request the work be retracted.
The British Journal of Psychiatry then formed an independent panel, which spent four months assessing the complaints. The panel questioned the methodology used in the research - one concern was the data had been combined in a way that saw women counted multiple times.
Ultimately the panel recommended the paper should be retracted. However, that never happened.
However, BBC Newsnight and the BMJ understand all three panel members, and two other members of the journal's editorial board, resigned in protest. They have called into question the journal's editorial independence.
Some panel members have expressed concern that legal threats may have influenced the College's actions.
https://www.bbc.co.uk/news/uk-66249015
All of which to a lay person is very confusing.
If this study has been so universally questioned since being published in 2011 (12 years ago) why is it still being used and quoted?
Or as someone said upthread, why hasn't another researcher or university, carried out a more recent study?
Have got used to recognising that news is filtered through the preconceived ideas of the presenters / channel, but seems almost more unsettling that research into areas of health and treatment are also slanted. Or known to be slanted and still used.