do the right thing and take custody of your daughter. She deserves at least a loving parent.

Why after 14 years now only complain? Prior to marriage, you didn't know she have all the behavior? If you know why marry in the first place? If you don't know, why no quickly divorce before having a daughter and after 14 years only take action? Divorce now because of petty reasons will destroy everyone life including your wife and daughter. Don't want do house chores, then hire a full time maid. Settle half your problem. She work many mlm jobs, if she bringing home some revenue, why not? Not all mlm are lies. Financial problem, then you as husband take charge and control household financial and her financial lo.

but she's not earning and doing anything to support the child.

1. you will need to provide for your daughter until she's 18 or 21?
2. the house is under joint or sole owner is you?

ok. it will be a tough 10-13 years ahead.
cos the wife will be happy leeching off you during that time.

i would have done it differently, will record all the proof necessary to show the court that she's incapable financially and domestically.
have the daughter follow you instead and you keep the house to raise the family and she move out. Alimony settle to the minimum until your daughter is 18 or 21.