I think the reason why Kavya gets so insecure is because V has committed Infidelity. And cheaters will always be cheaters, they can never be trusted. Fitrat nahi nadalti kisiki. So in her subconscious mind she knows that Vanraj is with her because of his ego not because he's in love with her.
The most immoral deed of kavya is not having an affair with a married man rather it's the pretense of being Anu's saheli and trying to manipulate anu's child against her.