qPCR (quantitative polymerase chain reaction), QTVR (Quicktime VR), quar (short for quarter / quarterly)
a 4 letter word starting with q and ending in r is "quatyioper" meaning: big, smelly fish found in the bottom of a pond/lake
There are no English words that meet the criteria.
Anna
amok
buzzzz:)
Avid
Mump.
inch
jazz
Alae
Quea! Probly
June
quos
Nonexistant