Adding to the "No-go" recommendations of others. Delta's own website recommends you be at the gate at least 45 minutes before departure for an international flight so it seems odd they would even sell an itinerary with a 35 minute connection. SEA can have some long walks to/from the far end of A to B or to have to catch the tram out to S (never mind the issues if you arrive at one of the hard-stands SEA now has set-up which requires a bus ride to the terminal).

If this was the result of a schedule change, I'd recommend having DL book you on an earlier flight from JFK to SEA (if possible) or reroute you via DTW or MSP or ATL or even via LAX so you can get D1 on JFK-LAX, in addition to having D1 to HND. Another option would be KE via ICN on a DL codeshare (providing this is a revenue ticket and you could easily be rebooked onto this option).