Well, Mr. Mbruno to be safe I looked it up.
Komtesse, comtesse does indeed mean countess - in French.
A komtesse is the unmarried daughter of a count, while a grevinde is married to a count (i.e. she has married to the title) or a countess in her own right (i.e. she is the bearer of the title, just like Countess Alexandra.)
Very unfairly the sons of a count are automatically counts, while a daughter has to be made a countess in her own right to inherit the title.
The same thing applies to barons.
Once a komtesse marries she gets the title of her husband if he has one. If not she becomes mrs XX.
The Germans are much more interesting when it comes to titles and I suggest you study the hierarchy there in order to really understand how the system works.
They start with Baron, Freiherr, Pfalzgraf, Markgraf (Marquis), Graf (count), Landgraf, Reichgraf, Herzog (Duke), Grossherzog, Erzherzog, Fürst, Prinz, Kurfürst, König (King), Kaizer (Emperor.)
Here is a site listing the various titles in order of rank, with the various titles in Danish, German, English, French - and other languages as well. As well as an explanation of the differences between the various titles. Albeit in Danish.
That's a good beginning.
https://www.lundskov.dk/kongehus/textfil/info-fyrste.php
For example Benedikte married a Prinz.
In German context I believe PH would have been titled Freiherr.
Thanks, I stand corrected then in the sense that both wives of counts and a person who is made a countess in her own right are a “ grevinde” and only the unmarried daughter of a count is a “komtesse”.