Subordination to Maya and subordination to the Lord are not synonymous. It is not possible to take shelter of both of them at the same time.

Either we are under Maya's shelter or we are under Krishna's shelter. If we are subordinate to Maya, it means we are attached to family life or to material life in general. Beeing subordinate to Krishna means we are attached to Krishna and His service. Therefore Prahlada Maharaj says, "Give up the dark well of family life and take shelter of the Lord by approaching the saintly persons." If due to weakness we are unable to leave home, then at least become detached from family life and worship the Lord in the association of devotees. This will certainly bring you ultimate fortune. If you make a show of serving the Lord while remaining attached to home and family life, then you will not awaken the propensity to serve the Lord. Instead you will remain forever drowned in the ocean of material existence.
After taking shelter of the Lord, if we remain attached to household duties and decide that serving and pleasing one's wife and children is the aim of life, if we remain ever indifferent to serving the Lord, giving more importance to our family life, then what is the use of taking shelter of the Lord? By serving the Lord we must become convinced that we are His erternal servants. Is that happening? We can judge by the fruit. The fruit of service is to want more service and to progressively increase in that way. We should analyze carefully what we are doing. Where is our shelter? In what direction does our mind rush? Don't leave yourself be cheated.
A woman leaves her father's house and takes shelter of her husband's house. As a result, her surname is changed. She no longer remains attached to her father's house. It is natural to develop love for those whom we serve. Serve Krishna and you will become attached to Him.