Sorry for a bug like me bothering giants, but can someone of you help me few questions and overall understanding.

I see you talk a lot about transaction fee of 1sat/byte. Is there a possibility of transaction to stuck or get lost?
For example if I send 1 bitcoin with transaction fee of 1sat/byte is there an opportunity for me to lost it for ever? Or it will take hour/day/month/year to get it transferred, but in the end the receiver will get it?