The swamp in my opinion is the start of the biomes getting more difficult. I definitely would properly prepare myself. You are constantly "wet" also, avoid being there at night if possible.

You will want at least in my opinion T2-T3 Troll armor and a bronze axe also T2 if possible.

Buckler if you can afford it or just upgrade your wood shield.

Lvl 2 bow with plenty of arrows wood or fire should be fine. Full rested buff and a outpost/base right next to the biome.

Royal Jam. Jerky and probably deer meat should be good enough foods. If you took your time even more and got a cultivator made and started to grow carrots you could have deer stew and carrot soup within a few days {assuming you found carrot seeds in the black forest)

Progress slowly and bring a hoe to help level out the terrain and make land bridges to help you not have to swim so much.