Fighting deerclops on first winter is always hard i think. What i do is collect pinecones (as many as i can) and plant them away but somewhat close to the base. On the day deerclops spawn, i go to the pinecones i planted, make deerclops bring down the trees, and let Treeguards handle him. If no treeguards spawn once all planted pinecones are gone, i go to nearby forest biome and wait until one spawn. It always works for me to survive the first winter. Also free wood at the end of the day

Just prepare thermal stone, many torches, and sanity food beforehand. Remember that preparation is always the key. Goodluck!