Yeah, that's interesting.
We start with approximately 33 bits needed to uniquely identify her. She lives in Havana, which immediately slices 11 bits from our search space (the population of Havana is around 2.13 million, or ~2^21). She's female, so we can roughly cut our population in half again; now we're only at 20 bits.
She worked in the Havana embassy in 2017 and was one of the people impacted by the strange health issues. There were about 24 people impacted (insofar as I can quickly find online), which means she must be one of these 24 people. Assuming all of the other 23 are also female, now there are only 4 bits remaining (24 = 2^4.58).
Finally, she has twin 12 year old children. We'll have to make a few fuzzy assumptions here, but given 1) a birth rate of ~1.5 per female per year, 2) a world female population of ~3,232,000,000 in 2005, and 3) a chance of having twins at about 3.33%, she is most likely in a set of about 159,984,000. This is only about 27 bits, which means we get a little over a 5 bit reduction by placing her in this set. That gives us the last 4 bits we need.
This is all assuming that the information given in this article is correct and the foregoing estimates are comparable to the real world statistics. This is a little fuzzy because I'm not sure if she's actually Cuban or American (and therefore where she was in 2005, or which estimates to use for calculating twin and birth rate statistics).