Theoretically if your epidural works well, you shouldn't experience pain, pushing/tugging/touch type sensations don't get eliminated with epidurals though. 1 in 10 don't work perfectly, normally one side is more numb than the other. Sometimes no relief at all, we can get most people comfortable with either extra doses or redoing it again
Epidurals are like spinals in a sense, just significantly weaker drugs used whilst labouring, so won't be as numb as a spinal
It's hard to say without reading the letter what it means. If a lady needs theatre for a csection or forceps delivery, and the epidural is working well (ie we go in the room woman's laughing and smiling, not needed us to give topups, not used any gas), then we "topup" the epidural in theatre with stronger versions of the stuff making you numb in labour to make you much more numb, and increase the height of the block so you're now numb to your nipples to stop you feeling pain whilst baby comes out. As with a spinal you will still feel pushing tugging pulling stretching.
If your epidural hasn't got you smiling at us when you needed to go to theatre, we take the epidural out and do a spinal instead (next door space in the back, different meds) so we are happy you'll be comfortable during the interventions. If it's a super super emergency (not common) then sometimes we need to give you a general anaesthetic instead
There is theoretically an increased risk of instrumental delivery (forceps, suction cup, section) with an epidural, but as I tell mum's when consenting, we don't really know if it's cause or correlation. It may just be baby is in funny position and you'd be destined for that epidural or no epidural. Similarly people who give birth at home or before hospital, don't have epidurals and also hence don't have forceps/csections so it's difficult to tell from the data if its genuine association or not.