baby has the flu...

I got my baby sick. I had the flu (even though I got the flu shot!) then my husband got it too. Now our baby has it 🙁 I was told it would be fine for me to continue BF even when I was sick and that my milk would actually help him. Well now  he has a fever cried all night the other night and is taking tamaflu- I feel like the worlds worst mother. Has anyone else's baby gotten the flu ? Did tamaflu help ? Any natural remedies to help ? I hate knowing it's my fault he's sick.