There is a connection between angels and stars in the book of Job. The word 'Angel' actually means 'messenger' - It is true that in its own way the star in this event is a kind of messenger. If it was an Angel it is very likely that the Magi, who were interested in stars rather than angels, might have interpreted the appearance of an angel in the sky as the manifestation of a new star. Against One problem is that in Matthew's gospel both stars and angels are mentioned, indicating that the star and the angel are considered to be separate phenomena. Star and angels are both mentioned but they are never used interchangeably and they are never paralleled in their function.
Angels appear to people in reality and in dreams.
The angels warn and instruct people but the appearance of the star is in itself a specific sign regarding the birth of Christ. As for the poetic link between stars and angels as found in the book of Revelation, this book is very different from Matthew's Gospel in its style. Matthew's Gospel seems to be describing events - not telling a parable or being poetic. Besides the word 'angel' means 'messenger' and it is uncertain in the book of Revelation if at this point 'supernatural' messengers are meant. Therefore if it was an angel the wisemen didn't realize it and neither did Matthew.