Walking while having a cold?

Soo i feel like this is silly but my 4 month old has a cold that she just came down with and since it’s finally sunny and 30 out ive started walking again. Well today i didnt go because i feel like it would be dumb of me to take her out in the cold while having a cold. Obviously i bundle her up when i do but still.

Am I right doing this and keeping her in or should be taking her out? I feel like im doing the right thing but also being over protective