I talked to the hairdresser today. She didn't find it a good idea to perm it now if I want to perm it before the holiday in June. The period between 2 perms would be too little, she didn't want to take the risk, so I was happy that she told me the truth.

In the meantime, the coloring/glazing can wear out and I can prepare my hair for the perm in June. I'll see if I can put a before-after picture up when it's done.
I didn't specifically mention wanting more curl, but she did say that after that period of time, it was normal that the perm would have been worn out. That is something I don't understand that well, I thought a perm was just that: permanent...
I'm not an expert, but could it be possible that she used the neutralizer too long?