Houston, who is facing a potential season-ending suspension after being charged with rough conduct, has reached out to apologise to Rankine.
The All Australian defender has been sent directly to the tribunal and a ban of four games or more will likely sideline him for Port's looming finals campaign.
"He's very remorseful," Wines told reporters ahead of Tuesday evening's hearing.
"Dan is in no way a dirty player or someone who would do that on purpose.
"And I know he's reached out to Izak and we hope Izak's feeling better and getting through it.
"Obviously Dan will face the tribunal tonight and what will be, will be."
Dan Houston has been referred directly to the tribunal for this incident involving Izak Rankine.— AFL (@AFL) Full Saturday Match Review findings: https://t.co/HrK8zy6iKI pic.twitter.com/OX8GLUQlaOAugust 18, 2024
The Power hold second spot on the ladder entering their last home-and-away fixture, away to Fremantle, before the finals.
Wines said losing the play-making halfback would be a blow to the club's finals prospects.
"Obviously really disappointing for us as a team, seeing what Dan has been able to do, particularly the last two years," Wines said.
"He'll hopefully be a back-to-back All Australian this year.
"And I'm little bit biased, but I think he's got the best kick in the league, so he's incredibly important.
"But we've got to wrap our arms around him, help him out and try and move on."
Houston's knockout blow on Rankine sparked a melee between Port and Crows players. (Matt Turner/AAP PHOTOS)
If the charge is upheld, and Houston is banned for four weeks or more as expected, it would likely be his last game in Port colours.
A four-game suspension would mean the backman would only play again this season if Port lose their qualifying final before making the grand final, and he is reportedly considering leaving the club at season's end to return to his native Victoria.
Meanwhile, GWS defender Lachie Ash was unsuccessful in appealing his rough conduct charge for a tackle on Fremantle's Hayden Young in Tuesday's first tribunal hearing.
Ash denied using excessive force in the tackle but agreed with the AFL's lawyer, Sally Flynn, that he swung Young to the ground.
The Giants' lawyer, Anais d'Arville, argued although Ash had pinned Young's right arm, the Dockers midfielder could have braced his fall with his left arm but chose not to.
The ban rules Ash out of GWS' final-round clash with the Bulldogs on Sunday.
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