Well it seems I've made a rookie mistake and booked prior to posting on FT.
My flight to HYD has me landing in BOM at 9 PM and leaving for the 9W flight at 2:30 AM to HYD. It will be a Tuesday night. So based on your responses I think I should be ok for that connection (5.5 hours).
However on the way back my flight from Chennai arrives in BOM at 7:35 PM and the connection to EWR leaves at 11:10. It will be a Saturday night.
It seems my way back may be a tight connection (3.5 hours).
All these flights are on a single ticket / itinerary if that helps at all. I may be able to swing not checking any luggage if you think that would help?
Do you think it may be worth trying to get an earlier flight from MAA to BOM on the way back?
I'm of course a BOM (and India) newbie.
Thank you all for your advice.