I took my dd to the gp for the same reason. He told me that on average kids under 2 at daycare get one virus etc/month with an average duration of 2 weeks, and this reduces by 50% when they reach 2.
That said, I wouls still go to the GP to discuss your concerns and start from there.
Sorry, you are going through this, it sounds exhausting. I think it's pretty normal though. I think young children get way more than 7 - 10 illnesses per year. Specially if they go to child care. One paediatrician once told be they get up to 30 bugs/year as toddlers. Then once their immune systems gets better they don't get affected by it so much.
That being said, if your mum instinct tells you something isn't right, it wouldn't hurt to discuss your concerns with your GP
Don't panic. It's far too early to worry about there being an underlying issue. It's normal for kids (unfortunately) to get sick for the first 6 months or so after starting daycare.
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