The Lekë Dukagjini road recommended by the Lonely Planet seems to be the M9 recommended by Google Maps. OpenStreetMap lists the Lekë Dukagjini street and it locates the M9 as a parallel street, more North. It appears that the more South road is more pedestrian-friendly (it is recommended by the Lonely Planet, by Google Maps and when looking at [the satellite view of the town of Pec], it looks less wide and therefore less busy). Many comments on TripAdvisor mention a walk of 20 to 30 minutes to access the monastery, without difficulty.
Regarding the winter access, it seems like you will need extra caution. First, make sure you go there early enough since the sun may set as early as 4pm. Then even though some blog article of a visit in January/February 2014 shows no snow at the gate but some in a close town, some comments on TripAdvisor describe the road as trecherous for cars and requiring snow chains (therefore the snow might not be cleared fast). Finally, the main road seems quite busy on the satellite view, so if the snow is not cleared off of the sidewalks, then it might be quite dangerous.
In the end, it is likely possible to walk to the monastery, but in winter extra caution is required.
Credit:stackoverflow.com‘
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