Any advice would be helpful please!!

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Hi I’m a new mom and I have a 2 year old. I stay home so she’s attached. She’s very happy smart and healthy. I know she just turned 2 but recently cries around other adults and kids .. she never did. I think it’s separation anxiety. I took her to a new kids gym and she cried next to me most time and was terrified. But I took her to park after she was ok around some of the kids. She throws tantrums leaving park. Will she grow out of this? Should I keep pushing her to do social play? It’s so hard and I cry everyday