A:
Firstly, it is permissible
for a person who is Junub to slaughter animals, whether chicken or anything else. There is no harm in this, In sha'a-Allah (if Allah wills). (Part No. 22; Page No. 375) Secondly,
Wudu' of someone whose hands are dyed with henna is valid, be it a man or a woman.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.