And why did their arrival not spread old world diseases with lethal effects like what happened later on when the Spanish got to America?
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As for 'Vinland and the disease transmission' topic, the following cut & paste from the similar question thread as OP posted today, Why didn't Norse Explorers Introduce 'Old World' Diseases to Indigenous Americans?, might be useful.
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While there is always more to be said on the topic, the basic outline that I summarized before in Were any diseases brought to America by the Vikings? is still valid (though a recent scientific article published since my linked post (Ledger, Girdland-Fink & Forbes 2019) suggests that the Norse people might sometimes take a visit in L'Anse aux Mewdows in course of the 11th century).
In short, the degree of contact between the Norse people and the indigenous people must have been very limited (if any), so it is not so unnatural to suppose that the pathogens that the Norse people had had did not transmitted to the indigenous people if they really met in the 11th century and later.
Additional References:
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On the other hand, /u/anthropology_nerd who authored excellent answers to the following relevant question threads might also have something to say especially in the latter part of OP's question, from different point of view from mine: