Given the number of towns and the huge variation in town governments of the Middle Ages, we can be sure that there were a number of towns that allowed women to be citizens and a number of other towns that did not.
Also, please consider that there were women who were monarchs. Even in places where women were not allowed to be monarchs, there were women who held titles in their own rights. Eleanor of Aquitaine, who was Duchess of Aquitaine, is a good example.
Town governments were often republican in certain areas, and were often run by guilds or guild members. Many guilds allowed women to be members.
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Medieval towns were crowded because serfs wanted more freedom and moved out of the manor land to towns.
Some medieval towns transportations were wagons or carriages. Some people just walked.
Many medieval towns were clean by their standards, which would have meant uncluttered, without foul odors, and so on. The medieval people did not understand anything about bacteria, viruses, and disease vectors, so in some modern senses, the towns were not clean; for example you could not trust the water.
The wealthiest of the early Medieval towns were found in France at the beginning of the period. There was a caste-like system among the citizens of many countries where one person ruled over many that were farming the land owned by the ruler. Later, the wealth started to shift to other countries as the peasants refused to be held in serfdom.
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