When he does stare into her eyes like Dandiya scene when Gopi tripped on her lerenga and he caught he stared at her, initially Gopi closed her eyes, but after she opened them and they had a really long eye lock, so why doesn't he like eye contact with her? Because now he has made this decision, that she should leave and free him to be himself (to find a modern and educated spouse like him), he doesn't want to look a prat and go back on his word, and say perhaps we are suited to each other.
He is practical and not emotional remember, what this means is he brushes all emotions aside, so beauty, feelings or stirrings are quickly squashed, BUT i think practically speaking Gopi suits him she is a good fit in the family, none of the Modi wives go outside to the husbands work events etc, so she is not required to be the sharpest and wittiest of creatures, what she is not, but she is capable for her surroundings to manage the house etc. So he needs to change his thinking that perhaps a witty, intelligent woman may not fit into his family structure, as no other family women go gallivanting with their husbands here and there, which i expect he envisioned in his spouse. Also his Kaka might have something to say about it if his wife was constantly poking around the office distracting employees and him from working.
