Meghan Markle is loving her new role as a Royal mother.

On July 10th, the Duchess of Sussex made her first public outing with 2-month-old Archie.

New Mom Markle brought Archie to the King Power Royal Charity Polo Day event where dad Prince Harry and Prince William were playing.

“She was doting on him, there’s no doubt about that,” an onlooker tells PEOPLE. “She was kissing and stroking him and bouncing him up and down.”

Despite the excitement of the polo match, Archie mainly slept for his first big outing.

The duchess held Archie throughout the match while sister-in-law Kate Middleton played with her own three children, Prince George, Princess Charlotte and Prince Louis, nearby. Meghan was photographed holding Archie and kissing his head, but internet critics say she was not properly carrying him or supporting his neck.

Other people called out Markle for not having a hat on his head, protecting him from the sun. Others said Markle doesn’t look like she’s comfortable being a mom, with one person tweeting: “It definitely doesn’t look like she has the maternal instinct. ‘How do [I] hold this thing? Someone take it from me.'”

Others said the baby may be better in a stroller, and that Markle should have been sitting down while holding Archie.

It seems there were a lot of opinions.

According to Lucy Shrimpton, The Sleep Nanny and parenting expert at the U.K.’s The Baby Show there was nothing wrong with the way Meghan was holding baby Archie. ”While parents will adopt their own styles of holding and comforting their babies in a range of ways, the way Meghan is pictured holding Archie is actually a commonly recommended hold,” she told Yahoo Style U.K.

“She is supporting the majority of Archie's body with her right arm while he rests his head on her chest. Babies are comforted by this position and hearing mom's heartbeat too. So long as the face is to one side, which Archie's is, this is a wonderfully soothing way to hold to a baby.”