Is it crucial to your plans for the day that you make the connection?
This is the most important question. I've made countless questionable connections but only because there are few repercussions to missing my connection. Do some research about the station you are changing at and which platforms you need to get between. Monitor OpenTrainTimes maps to ensure that a platform alteration is unlikely and prepare for the (potentially) mad dash. Boarding the first train at a specific end can help a lot depending on which direction you need to go to get to the footbridge/subway.
Ideally, you should give yourself more than the minimum connection time (usually 5 minutes) as this entitles you to delay repay or the option to board the next train even if you miss the first connection with an advance ticket. I tried to search for minimum connection times at Hove, but didn't find anything.
In my cases, it was a connection from platform 2 to 5 at Cambridge with 3 minutes, and a 2 minute change on the same platform at Colchester. These are easily doable, as no crossing tracks (via footbridge/subway/level crossing) is required. It looks like your connection is between platforms 2 and 3, which will require using the subway at Hove, so you should figure out the closest doors to the subway.
Another important question: do you have mobility issues? This could make it much more difficult to make the connection. Maybe it's just a better idea to arrive 10-15 minutes early, as advance tickets can't be refunded if your delay is no fault of the railway.