Indications and willingness is only from Anant's side.
She is drawing a line.She doesn't involve him in her affairs.
If he has become a fixture in BH it is because of Dsa and he himself as well as his daughter seem to be forcing their company on Anandi and Shivam.
This time at least his presence in the scene has some logic because the child was not well,
He is a paediatrician.
Even Anandi guessed that something is bothering the child and she didn't need Anant's input on that.
All the same she appreciated his view on that but when he went on to tell about what he thought of Mangala she ticked him off very politely saying thank you for your concern but Mangala loves the child.
She would rather trust Mangala than him. It's another matter she and her daughter will be devastated when they get to know about Mangala's doings.
Her son accepted the fact that his father is no more but all the same his father is a role model for him and it will be the same for Nandini too.
Well Jagya Ganga would want what Anandi wants in this matter as for Dsa she will not try emotional blackmail this time.
As for the message that is conveyed by the presence of all these people around Anandi who are her support system which she has earned over the years.With a good support system a single mother can bring up her children very well and she need not marry because she needs support or because her children need a father.
For Shivam it is quite obvious that she is mother as well as father just like Shiv wanted her to be.