yady apy anusmaran vairaḿ
rukmī kṛṣṇāvamānitaḥ
vyatarad bhāgineyāya
sutāḿ kurvan svasuḥ priyam
yadi api -- although; anusmaran -- always remembering; vairam -- his enmity; rukmi -- Rukmi; krishna -- by Lord Krishna; avamanitah -- insulted; vyatarat -- granted; bhagineyaya -- to his sister's son; sutam -- his daughter; kurvan -- doing; svasuh -- of his sister; priyam -- the pleasing.
The answer to King Parikshit's question is given here. Ultimately Rukmi approved his daughter's marriage to Pradyumna in order to please his sister, Rukmini.