Can a 2-year-old baby born prematurely get vaccinated for Covid-19?

Hello doctor,

My daughter is turning two in a week, but she was born extremely premature at 24 weeks. She had severe BPD and required intubation for several months. However, since the removal of the oxygen supplement, she has not experienced any lung issues. Although she had rhinitis twice with a mild cough, she successfully recovered within a few days at home. Doctors have consistently noted clear lung sounds during examinations. Additionally, she has a small CHD known as LPA stenosis, likely a result of PDA clipping in the NICU. The stenosis is quite mild gradient of (16 mm/hg) and the cardiologist says that if it remains like that, there is no need for surgery and she can lead a normal life. My inquiry pertains to vaccination, specifically regarding COVID-19, and I value your opinion. She has received vaccinations for RSV (Synagis) and the seasonal flu, but not for COVID-19. When we asked her pediatrician about the COVID vaccine, he seemed hesitant, expressing that it is not recommended for her at the moment. It appears that pediatricians here are not actively advocating COVID vaccination for toddlers. I'm reaching out to gather your thoughts on whether we should insist on the COVID vaccine for her. Unfortunately, I contracted COVID last week, but fortunately, my symptoms are mild, akin to a bad cold. I am, of course, maintaining distance from my wife and daughter. Considering your experience, could you share insights into toddlers, especially former premature infants, contracting COVID? Are we at a disadvantage for not getting her vaccinated? I appreciate your guidance on this matter. Best regards, Benjamin