There's no reason bitcoin transaction would be slower just because there's less miners as long as the big pool/miners still use hardware and internet which are strong enough to manage bitcoin network.
It takes time for the difficulty to adjust. See bold.
When miners go offline, hashrate goes down, blocks will take longer to solve, and transactions take longer to confirm. This will be compensated for at the
next difficulty adjustment, which will happen after 2016 blocks are solved. https://en.bitcoin.it/wiki/DifficultyIf you want the boring stuff, some more details:
1. Miners don't have to include your transaction, so if you didn't include a high enough tx fee, or they simply don't feel like it, your tx won't be included in the next solved block.
2. Difficulty is not adjusted continuously, but only once every 2016 blocks. If enough miners go offline at once, the difficulty doesn't immediately go down. see my previous post.
TL:DR: if half the hashpower goes offline, it would take ~20, instead of ~10 minutes, to solve a block.
At that rate, the next difficulty adjustment will happen in (20 * 2016) = 40320 minutes, or 672 hours, or 28 days.
It's unlikely that half of the miners will go offline tho, but, if everyone is mining at the edge of profitability, it's possible that *more* than half would. Unlikely, but possible.