Is it really bad to express into a pump straight from the fridge?

[bumperlicious]

When I express I usually do it in two goes, stick the pump in the fridge and take it out to pump straight into it later. Just wondering if it is really bad to express warm BM into fridge cold BM, but I don't want to have to keep washing up the pump and bottles each time. Any thoughs?

[Cappuccino]

I did it

child still alive

[zaphod]

I used to do it too.

[expatinscotland]

I did it, too.

[bumperlicious]

Phew, thanks!

[TheQueenOfQuotes]

I do it too