However, a spokesperson for the show said that despite the complaints, overall the series has been very well received and has been commended by critics.
"It's been really well received by viewers and critics and we're really happy with how it's doing so far," said a representative for the station.
But even those behind the show admitted that the two emails complimenting the show had been a "pleasant surprise".
The series is written by and stars comic David McSavage, while Kieron J Walsh directs the show, which aims to answer the perennial questions about the Irish psyche.
"We have some great people involved from Declan Rooney to Aidan Bishop to Pat McDonnell and Gerard McSorley.
"We actually broadcast the pilot of The Savage Eye last January and it was the most successful of the four dramas that were broadcast, with a huge reaction to it from viewers. It was on the back of that, that it was decided to develop the series," the spokesperson added.
David is well known for his controversial television appearances in the past and has even been known to heckle his own audience.
One of his most memorable television appearances was on the Late Late Show in 2007, which saw him ridicule both Ryan Tubridy and Pat Kenny.
His gags on the night were deemed boundary-pushing, with many commenting that he had gone too far.
In the past, the chat show has been one of his greatest patrons, with David claiming that he has appeared on the show, "six or seven times".
The outrageous comedian is also well known for taking off Irish personalities including pop mogul Louis Walsh, Michael Flatley, former President Mary Robinson, Bono and Seamus Heaney.
The satirical programme touches on topics including alcoholism in Ireland, the Catholic Church and the effects of the Irish weather using vox-pops, documentary and sketches.
Speaking about the debut episode of the new series, Herald TV critic, Pat Stacey described the show as "a wild, possibly uncontainable, imagination on the loose."
The programme airs on RTE Two on Monday nights at 10.30pm.