But she could face an intriguing encounter against defending champion Lauren Whyte. The St Regulus youngster made it through to the quarter-finals with a 19th hole win over the reigning Scottish Junior Open Strokeplay Champion, Nicola Callander (Mill Green).
Atkins, a golf scholarship student at Loretto School in Musselburgh, defeated Dalgetty, who had led the strokeplay qualifying, by 4 and 3 to set up a quarter-final against Dunblane New’s Nicola Robertson.
Robertson caused a major chock by knocking out North Berwick’s Clara Young, a finalist at the Scottish Ladies’ Championship at Longniddry in May, by a convincing 5 and 4 margin.
In the other last eight match in the top half, Whyte will take on Connie Jaffrey (Troon Ladies), a 5 and 3 winner over Bothwell Castle’s Eva O’Connor and Renfrewshire's Alex Qayum by 1 hole in the 1st round
In the bottom half, Heather Munro (Monifieth) will face Borderer Danielle Ker (The Roxburghe) and Eilidh Watson (Muckhart) will tackle Tara MacTaggart (Minto).
Mactaggart, the No. 2 seed, eased through to the last eight with a 3 and 2 victory over Kirsten Brown (Strathaven).
FIRST ROUND
Emily Dalgetty (Glencorse) bt Paige Kemp (Rochford Hundred) 5 and 3.
Lesley Atkins (Gullane) bt Katie McGarva (Troon Ladies) 4 and 2.
Clara Young (North Berwick) bt (North Berwick) bt Kirsty Brodie (Strathmore) at 19th.
Nicola Robertson (Dunblane New) bt Leanne Wilson (Kelso) 5 and 4.
Connie Jaffrey (Troon Ladies) bt Alexandra Qayum (Ranfurly Castle) 1 hole.
Eva O'Connor (Bothwell Castle) beat Emily Aird (Blairgowrie) 3 and 2.
Nicola Callander (Mill Green) bt Shannon McWilliam (Aboyne) 2 and 1.
Lauren Whyte (St Regulus) bt Jasmine Mackintosh (Hazlehead) 6 and 4.
Heather Munro (Monifieth) bt Emma Kennedy (Dumfries and Galloway) 1 hole.
Ellie Bryce (Strathaven) bt Fiona Liddell (Schloss Vornholz) 3 and 1.
Claire Robertson (Carnoustie Ladies) bt Eilidh Crawford (Harburn) 4 and 2.
Danielle Ker (Roxburghe) bt Charlotte Munro (Gullane) 2 holes.
Eilidh Watson (Muckhart) bt Emma Hale (Troon Ladies) 3 and 2.
Joanne Free (Gullane) bt Hazel MacGarvie (Troon Ladies) 3 and 2.
Kirsten Brown (Strathaven) bt Lauren Watson (Deeside) 2 and 1.
Tara MacTaggart (Minto) bt Andrea Walker (Falkirk) 4 and 3.
SECOND ROUND
Atkins bt Dalgetty 4 and 3.
Nicola Robertson bt Young 5 and 4.
Jaffrey bt O'Connor 5 and 3.
Whyte bt Callander at 19th.
Munro bt Bryce 4 and 3.
Ker bt Claire Robertson 3 and 2.
Eilidh Watson bt Free 5 and 4.
MacTaggart bt Brown 3 and 2.
FRIDAY QUARTER-FINALS
08.45 Lesley Atkins v Nicola Robertson
08.55 Connie Jaffrey v Lauren Whyte
09.05 Heather Munro v Danielle Ker
09.15 Eilidh Watson v MacTaggart
SEMI-FINALS
1.30 Atkins or Nicola Robertson v Jaffrey or Whyte.
1.40 Munro or Kerr v Eilidh Watson or MacTaggart
ANSLEY REID SALVER
FIRST ROUND
Tegan Seivwright (Deeside) bt Jennifer Duncan (Auchterarder) at 19th.
Heather McKimmie (Balmore) bt Lauren Gilbert (Largs) at 20th.
Emma Greenlees (Dumfries and Co) bt Alexandra Duffy (Cathkin Braes) 4 and 3.
Katie Scott (Strathaven) bt Jessica Dalgetty (Glencorse) at 19th.
Jillian Farrell (Cardross) bt Emma Morrison (Craigmillar Park) 3 and 2.
Kimberley Beveridge (Aboyne) bt Jennifer Allan (Glenbervie) 3 and 2.
Olivia Borwick (McDonald Ellon) bt Lori Macdonald (Cardross) 3 and 2.
Katie Wright (Stranraer) bt Catherine Goodwin (Glenbervie) 7 and 6.
QUARTER-FINALS
Tegan Seivwright beat Heather McKimmie.
Emma Greenlees beat Katie Scott
Kimberley Beveridge beat Jillian Farrell
Katie Wright beat Olivia Borwick
SEMI FINALS
09:30 Tegan Selvwright v Emma Greenlees
09:40 Kimberley Beveridge v Katie Wright