Striker on earning point
The 19-year-old powered home Tom Kennedy's 89th-minute corner to level the contest - which the Reds had dominated for large periods.
"I just made a darting run to the front post and luckily got on the end of it," said Rose.
"There's no target. I'll just take it game by game.
"I can see how people saw that we missed a few chances and were thinking 'it's not our day', but credit to the lads. It's a massive point for us. We kept persevering.
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"I've just got to keep working hard in training. I've just got to kick on; for my hometown club it's just a dream come true - it's a great achievement."