I came across a magazine article by a woman who'd undergone EMDR and she made it seem like a silver bullet with minimal side effects,
If you search for EMDR on this website you'll find posts from some people who are very positive about EMDR and how it has helped them. I'm not sure how many would say it has minimal side effects. The people who are positive about it seem mostly to also say how tough it is, and to describe various side effects and bad reactions - which they feel worth it for the overall benefit. To me, what people tend to describe would be a red flag.
Many people also seem to have been having EMDR for a number of years, which to me is a contraindication but I suppose it isn't to them.
I'm sure if an advocate for EMDR reads this and disagrees, they'll post and put a different view.
...maybe because her trauma was relatively light and recent.
Depending on the type of trauma and when it took place, someone might not meet the criteria for PTSD. If they do, I think there are still issues of how much/how long trauma has been held and suppressed. Peter Levine explains about trauma energy trying to emerge and being pushed back down, as a process of refreezing that embeds it even more deeply. My craniosacral therapist perceived this in me as it developing into fear of the fear, and then fear of the fear of the fear.... and so on.
EMDR has been questioned for complex trauma (severe, repeated or prolonged trauma). Attitudes towards this might be changing as EMDR develops. My feeling is that if trauma is complex or deeply embedded, then EMDR is likely to be less effective and more difficult/risky.
Is "craniosacral therapy" the correct term to search or would "somatic experiencing" be better?
They're both correct. They're slightly different forms of somatic therapy. I'd suggest finding a training college or professional membership organisation for each and talking to them on the phone if you feel able to. One question you might ask is how they'd explain the difference between the two.
Can I ask what country you're in? I know more about UK resources.
Something I should have said in my post is that I've also had psychotherapy/art therapy with a different trauma specialist. I don't somatic therapy alone is likely to be enough, it wouldn't have been for me because I've needed to work through so much about the meaning and effects of the trauma. I started somatic therapy first, and it made the psychotherapy possible/valuable.