Strong was 15 years old when she made her national debut at the 1992 Canadian Junior Curling Championships playing lead stones for Cheryl Cofield.
In 1998, Strong won her first provincial women's championship, which earned her the right to represent Newfoundland at the 1998 Scott Tournament of Hearts.
[9] In 2006 Strong again qualified for the Scott Tournament of Hearts, this time she finished round robin, tied for fourth place with a 7–4 record.
They finished round robin tied for fourth place, where they met Manitoba's Jennifer Jones in the tiebreaker match.
At the 2011 Newfoundland and Labrador Scotties Tournament of Hearts Strong again made the playoffs, but lost the semi-final to Nichols.
At the 2012 Newfoundland and Labrador Scotties Tournament of Hearts Strong found success, finishing round robin in first place, and defeating Laura Phillips in the final.
Strong lost in the final of the 2013 Newfoundland and Labrador Scotties Tournament of Hearts to Stacie Devereaux, but won the 2014 Newfoundland and Labrador Scotties Tournament of Hearts with new teammates Jessica Cunningham and Kathryn Cooper playing front-end.
Losing her sister did not prevent Heather from winning her 12th provincial title at the 2015 Newfoundland and Labrador Scotties Tournament of Hearts.
Strong will play in the 2022 Newfoundland and Labrador Scotties Tournament of Hearts provincial championship, hoping to make her first return to the national stage since 2015.
Strong is the current Provincial Director of the Terry Fox Foundation and an avid curler and participated in two Canada Games in the sport of synchronized swimming.