Isn't this all a bit ironic? She was executed for an attempted poisoning she didn't commit, and then her brother and father murdered all of that one guy's family for a poisoning they didn't commit.
All these royals seem like horrible people and the only difference between aisha/alicia seems to be that she is now in a position of power.
Asshole Royal Family Checklist:
1. Threatened to execute people who insulted them
2. Don't care about people outside their family (tea party)
3. Execute families of people for the slight of one
I'm betting it's going to be implied later on that there are either slaves/serfs in the kingdom or a neighbouring kingdom that they heavily trade with that are responsible for their fantastic wealth. They will then ignore it and throw another exravagent month-long party.