What does palm green bead mean?

Green beads are not a term in fortune telling, but a metaphor used by fortune tellers. They originally came from the allusion of "green beads falling from a building":

In the Western Jin Dynasty, Shi Chong, a regular servant, came back from a mission, met bandits and robbed Lu Zhu's mother and daughter, ordered the army to kill the bandits, rescued Lu Zhu's mother and daughter, and brought Lu Zhu back to Luoyang. Sun Xiu, a subordinate of Pan Yue, came back with Pan Yingchong and was reprimanded for her beauty. Sun became angry from embarrassment and took refuge in Sima Lun, waiting for an opportunity to get the Green Pearl. Sima Lun wanted to usurp the throne for a long time, and he was afraid that Sima Yun would turn against him. Later, Sun Xiuji killed Sima Yun. After the fall of Queen Jia, Shi Chong's patron, Sun also took advantage of the situation to kill Shi Chong and surrounded Jingu Garden in search of green beads. Lvzhu was forced to fall to her death.

Shi Chong has always been arrogant and extravagant. When he learned that his mansion was besieged, he said to Lvzhu, I was convicted because of you. With its unique ability, history forgets its original intention and regards its allusions as a symbol of loyal love until death do us part.

The green beads mentioned in fortune telling often mean "deep feelings, but many twists and turns."