Loyalty for bajaj means something different. This man is not bothered about if Prerna meets Anu at this moment. This Bajaj doesn't care if Prerna keeps on saying that her body & soul will belong to Anu. He already gets that.
Besides, Prerna can't truly be loyal to Bajaj because she has her soul with Anu & she is in love with Anu. She doesn't just love Anu, she is in love with him. A part of her loyalty will be for Anu. Besides, she is pregnant with Anu's child, so he knows that there will always be a connection & a sort of loyalty to Anu on some front. Bajaj just wants Prerna to choose him when in public it comes to choosing between Anu & him.
If season 1 is to be considered, then Bajaj was not bothered about AnuPre meeting each other for a long time as long as Pre was doing her duties as a wife to him & he was content with the distance they maintained. It was only after he fell for her & because of Maneka's instigation did Bajaj begin to worry about this but he didn't say anything about it for a really long time.
It is to be seen in what way does Bajaj want Pre's loyalty. What does he mean when he says that he could buy her loyalty even though with his own admission he can't buy her love or remove Anu from her heart & mind? We need to have tracks to understand what this loyalty stuff means here. What does Bajaj expect from Prerna when he says loyalty because despite so many AnuPre meeting till now, he hasn't questioned her. He hasn't questioned her beliefs after she has openly declared her hatred for him & eternal love for Bajaj, infact he appreciates that she is not faking her hatred for him & is being real & he considers this as a part of being loyal to him. He wants Prerna to stay real with him no matter what because deep down he knows that Prerna wouldn't cross that threshold no matter how much she loves Anu while she is married to Bajaj.