i don;t think your dd is an equal se is a child you and your patner will be the parents this relationship is not equal - is a dicatorship - as nicely as you want - using whatever methods you see fot - you ge your child to do what to believe your child shoudl do at any given point.
your dd should feel comfortable in her own home - singing dancing laughing playing are all acceptable in any area of the house - the more the better.
you must sit down and decide what your partner can and cannot parent.
you must realise that you will be being faught over.
partner will want to be dominant male and might do some shitty stuff to prove this.
you need to tell daughter that partner now had right to tell her to d things
tel partner she is 7 years old and to give a bit of slack.
tell your partner that you will do whatever is fair and you will let things go - but at the end of the day your daughter wil always be loved more - thats how mums work married or not natural children or not