dhārayanty ati-kṛcchreṇa
prāyaḥ prāṇān kathañcana
pratyāgamana-sandeśair
ballavyo me mad-ātmikāḥ
dharayanti -- they hold on; ati-kricchrena -- with great difficulty; prayah -- barely; pranan -- to their lives; kathancana -- somehow; prati-agamana -- of return; sandesaih -- by the promises; ballavyah -- the cowherd women; me -- My; mat-atmikah -- who are fully dedicated to Me.
According to Srila Visvanatha Cakravarti, although the gopis of Vrindavana were apparently married, their husbands actually had no contact whatsoever with their supremely attractive qualities of form, taste, fragrance, sound, touch and so on. Rather, their husbands merely presumed, "These are our wives." In other words, by Lord Krishna's spiritual potency, the gopis existed entirely for His pleasure, and Krishna loved them in the mood of a paramour. In fact, the gopis were manifestations of Krishna's internal nature, His supreme pleasure potency, and on the spiritual platform they attracted the Lord by their pure love.
Nanda Maharaja and mother Yasoda, Lord Krishna's parents in Vrindavana, had also attained a most exalted state of love for Krishna, and they too could barely maintain their lives in His absence. Thus Uddhava would also give special attention to them.