Jim in all likelihood a deer might not have heard, spotted you if you are further away. One often has time to find a good rested spot to take the shot. Getting closer can mean alerting the deer, certainly the chances are higher than just taking the shot if all is safe at the say 200yds.
When approaching chances are very high one either stumbles across another animal or has difficulties finding the first seen animal and eventually possibly being caught in a position that only offers an off-hand shot. For most the 200yd prone shot produces better groups than 50yd off-hand shot. Not mentioning a bit of buck fever...
Canadian1,
that is Kerry, West coast of Ireland. In that picture you see a 2m deer "proof" fence in the background as there is a plantation on the far side of it with oak trees etc. It is a very rough piece of ground that is also very steep and full of water holes. Some ferns grow over 6ft high and the deer that have made tunnels through it. Very difficult to get the deer out or shot. We had managed to keep it clear for about 5 years but recon they have the upper hand now. Tree's are hopefully big enough anyway. We had something like 9 Hurricane force storms last season which really made a mess of parts of the fence. I prefer to use my 30-30 Winchester in this terrain when we walk it through. A bit like at driven hunts it can get messy. We only do that type of hunting in plantations for crop protection.
Part of the terrain looks like this and is difficult to hunt, deer have the upper hand. Picture taken in Summer of a heavily pregnant Sika Hind.
Sorry for the off topic.
edi