I think we can safely say the Franciscans did accept female intellectuals, because there were Franciscan orders specifically for contemplative nuns. They were called the Poor Clares by many people.
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The general term is "mendicant". You may be thinking of the Franciscans, a specific order of mendicants.
Many of the Roman Catholic Orders come to mind - notably The Franciscans - The Jesuits - etc. - many others, I'm sure.
abilty to accept ideas
Had accepted.
A person (who) is not an idea. A question phrased in the negative (NOT) is unanswerable because almost everything is a true answer. In other words your question, as phrased, makes no English sense.