Craig, in my experience a "temperature sensor" and "sending unit" are the same thing, so I'm not sure what you are speaking about.
Temp senders normally are a lot like a squat spark plug in appearance. There's usually only one wire attached, which runs to the guage cluster and then to a 12v positive source. Inside the sender is a thermistor, a blob that changes resistance when the temperature changes, which in turns controls the voltage flowing through the guage, which makes the meter needle move from C to H.
If you break the wire off, just fix it. Solder it, crimp a new fitting on the end of it, put in a foot of new wire if needed. Not at all critical, anything close will still work equally well.