"Gingerly" means to do (something) very carefully and cautiously--which does not necessarily imply also being gentle.

'gingerly' hat ein Element von Angst haben, sich zu verletzen, etwas fallenzulassen etc... man ist also, wie HW schon sagt, sehr vorsichtig.

sanft/behutsam/sachte und vorsichtig

To add to what Gibson said about "Angst," I'd (also) say that one acts gingerly even after something bad has happened. In American football, for example, it's often noted that, after a bad collision, the players get up and walk gingerly (because of their pain or broken bones, etc.).

Please note also that "gingerly" is correct whether as an adjective or adverb. Too many Americans think that gingerly is (only) an adverb, and so they use "ginger." That's a mistake.

hier hat skifahren im letzten Jahr mal gesagt, dass er Englisch lernt und dafür Spotlight benutzt:

FWIW, M-W lists "gingerly" as an adjective first:

'gingerly' hat ein Element von Angst haben, sich zu verletzen, etwas fallenzulassen etc... man ist also, wie HW schon sagt, sehr vorsichtig.(#2)

Another good example of a word acting as both adjective and adverb is "leisurely."

Re ## 5, 6, etc.