Udara-dhih means
Srimad-Bhagavatam
SB Canto 2
Udāra-dhīḥ means one who has a broader outlook. People with desires for material enjoyment worship small demigods, and such intelligence is condemned in the Bhagavad-gītā (7.20) as hṛta jñāna, the intelligence of one who has lost his senses. One cannot obtain any result from demigods without getting sanction from the Supreme Lord. Therefore a person with a broader outlook can see that the ultimate authority is the Lord, even for material benefits. Under the circumstances, one with a broader outlook, even with the desire for material enjoyment or for liberation, should take to the worship of the Lord directly. And everyone, whether an akāma or sakāma or mokṣa-kāma, should worship the Lord with great expedience. This implies that bhakti-yoga may be perfectly administered without any mixture of karma and jñāna. As the unmixed sun ray is very forceful and is therefore called tīvra, similarly unmixed bhakti-yoga of hearing, chanting, etc., may be performed by one and all regardless of inner motive.