My PhD dealt with biology-related topics.
A STEM degree, not to mention a doctorate, provides you with many useful skills and knowledge.
I have no computer skills either. Do you think any lab would hire a PhD graduate with such mediocre skills? Definitely not.
This sounds like all or nothing thinking. You do actually have some computer skills as you managed to post this message under your user account. If you want to develop more skills, such as programming and data-analysis skills, you alluded to the way forwards yourself:
Perhaps I should enrol on a bioinformatics or advanced laboratory skills course, the problem is that I have no money, and I can't apply to any state subsidies.
I wonder what it must have been like doing a Ph.D. (or even BS.c./MS.c) in early 90s before the internet. Or what about in the early 80s when word-processors when not so readily accessible.
Nowadays, so many people want to present themselves as teachers, you can find lots of FREE resources and tutorials on a variety of technical and advanced "computer skills" such as programming and bioinformatics. You don't even need to leave the comfort of your home!
You could learn Python and then some data-analysis skills. You are spoilt for choice on free resources for this.
Good luck!
Wizard