Sacrifice it at the beginning of your next end step
You can choose between the two
Cards like Toxic Deluge or Tragic Slip can effectively reduce an indestructible creature to 0 or negative toughness, and it will die

Adelbert Steiner Adeline, Resplendent Cathar Adeline, Resplendent Cathar Adriana, Captain of the Guard Adun Oakenshield Arna Kennerd, Skycaptain Aryel, Knight of Windgrace Basri, Tomorrow's Champion Caradora, Heart of Alacria Cecil, Dark Knight Cecil, Redeemed Paladin Celes, Rune Knight Danitha Capashen, Paragon Danitha Capashen, Paragon Danitha, Benalia's Hope Danitha, New Benalia's Light Dion, Bahamut's Dominant Elder Arthur Maxson Elder Owyn Lyons Ellivere of the Wild Court Garland, Knight of Cornelia Garland, Royal Kidnapper Haytham Kenway Imodane, the Pyrohammer Inti, Seneschal of the Sun Jerrard of the Closed Fist Judge Magister Gabranth Kain, Traitorous Dragoon Kwende, Pride of Femeref Lena, Selfless Champion Livio, Oathsworn Sentinel Mrton Stromgald Paladin Elizabeth Taggerdy Rafiq of the Many Rem Karolus, Stalwart Slayer Sarevok, Deathbringer Seifer Almasy Sentinel Sarah Lyons Shanid, Sleepers' Scourge Shay Cormac Sidar Jabari Sidar Jabari of Zhalfir Sidar Kondo of Jamuraa Sir Shandlar of Eberyn Squall, SeeD Mercenary Sylvia Brightspear Syr Alin, the Lion's Claw Syr Armont, the Redeemer Syr Carah, the Bold Syr Elenora, the Discerning Syr Faren, the Hengehammer Syr Gwyn, Hero of Ashvale Syr Konrad, the Grim Syr Konrad, the Grim Syr Vondam, Sunstar Exemplar Syr Vondam, the Lucent Telim'Tor Tivadar of Thorn Tori D'Avenant, Fury Rider Tura Kennerd, Skyknight Varchild, Betrayer of Kjeldor omer of the Riddermark omer, Marshal of Rohan owyn, Fearless Knight owyn, Shieldmaiden

The haste mechanic was introduced all the way back in Alpha
Number 21 Language English Legal Formats Commander, Legacy, Modern, Vintage Not Legal Formats Alchemy, Brawl, Competitive Brawl, Historic, Pauper, Pioneer, Standard, Timeless Rulings (6/15/2010) Gideon Jura's first ability doesn't lock in what it applies to