Fear of the unknown can be a big issue too along with perceived loss of status.
Unfortunately people won't interview you for something new over 40. Your expected to be able to make your own way (ie start a company) it appears.
OP - I would STRONGLY recommend you look at quantum.
Here goes - I spent 6 months running a programme to provide recommendations to HSBC's group chief-of-staff following a hackathon entry and demonstration of two quantum proof-of-concepts for financial risk analytics. The recommendations covered risk, data science and security. I then spent almost 1.5 years selling quantum cybersecurity within a company that did a lot of quantum research and work across many industries.
Statistics and quantum aren't far apart. Most of the quantum systems are cloud based and you can use a simple language to play or code up concepts. This is includes simply playing with Bernoulli variables etc, through to full on optimisation and beyond. a lot of toolkits have non-quantum computer based simulators available that you can run on your PC/Mac etc (under the hood they use markov chains etc).
The big thing with "data analyst" in large organisations is it quickly becomes "data cleanser" of legacy and general tripe. If you want to hit the maths properly then you're looking at statistician jobs like Quants or modelling.
I remember being at in a a room with the Group risk analytics director with a load of CIOs, and two individuals with statistical analysis and modelling knowledge (one from Higgs boson research background and one with quantum spin and number probability). Every CIO in that room (HSBC had 350 C-level executives and 380,000 people at this point) had a PHD in maths related to quantum research or superconductors etc.
Quantum is not really a faster data processor - more of a how to build a better data processor. This specific fact is what is driving a lot of competitive work and opportunities for physics and maths grads at this present time.
I would say over the next 5-10 years the quantum piece for new markets will come online as businesses understand how they can use quantum to open new opportunities and not just optimise existing ones. This is ignoring the quantum cybersecurity armageddon.