Yeah I'm pretty nervous about engineers in charge. Merkel is interesting because her dad was reverend in the East. My reading of her is more that she was smart and there were good options in physics/chemistry - but then she effectively went right into politics directly afterwards. For better or for worse she never had that 5-10 years of day-to-day work before politics.
She is the most hated EU politician in whole eastern part of EU, a symbol of EU failings and main reason there are many EU-sceptics across whole region.
A lot of current/recent crisis and utter dependence on russian gas and oil was her doing. She desperately tried to appease putin at all costs despite him mocking her from time to time, she pushed long term underfunding of German army despite war on Ukraine happening since 2014, closed down nuclear plants too fast so coal energy was needed immediately and so on.
Shame on her to be polite, not a good example if you want to show that engineering background (just studies in her case) can lead to better outcomes than lawyers.