There are several web sites that let you type in the word and you can hear how it is pronounced.
Woerd is a proper name, so pronunciation is not by formula. I think that most of us who collect his material pronounce it Vord.
Charles Van der Woerd was born in the Netherlands so he probab;y pronounced the w as though it were a v in English.
The literal translation is "from the drake" so I have always had trouble with the parsing of the name. It is often seen as Vander Woerd or all tun together as Vanderwoerd.
As to patent or patents, I do not recall seeing patent marked on the pillar plate where the normal form is Woerd's Patents. It refers to more than one of several patents on the escapement and winding mechanisms. It can colloquially be read as "I am in charge" since it appears on almost all watches made by the Nashua or 3/4 plate department while he was in charge. Here is an example.
The Woerd's Pat. usually is with Compensating Balance on the top plate for watches that were intended to have that feature. There are nominally 120 watches with that marking and only a handful that retain or ever had the feature. Here is an example of that marking on the open face watches (20 total).
I do not recall seeing the singular "patent" on any watch, but my memory could be faulty. Here is an example of the pillar plate mark on a gilt 1873 model.
Oops! Here is an example with the singular form. The additional text is patent dates.
You can look up all of Woerd's patents on the
NAWCC-Info site.I think the two referenced in this image are 65064 and 67692.
