Depends on how durable/fast/strong Dante is in either iteration for her power to mean anything, but that's just Dante competing with himself more than it is Trish competing with either version of him.
DMC1 Dante has the feats of: being impaled by Alastor, then pulling himself up through the sword with an immediate recovery despite copious blood loss; surviving the Ifrit acquisition where he was burned by hellfire, a.k.a. fires burning magnitudes above 2000 degrees Fahrenheit, given that Frosts are "impervious to volcanic fire" but only Ifrit can hurt them; on that note, surviving Frosts in general, whose claws reach "below absolute zero temperature", or negative 459.67 degrees Fahrenheit; similarly, surviving attacks from Nightmare, whose coldness can "freeze magma". So, 1Dante is durable enough to not spontaneously combust at temps a normal human would combust at, and is therefore as impervious to volcanic fire and magmatic heat as his enemies are, can survive having all of his heat energy drained and regains it in seconds in such a gross violation of physics it's pressing charges against him right now, and also survives his worst idea of body piercing ever. In terms of DA flavor text, Alastor grants Dante the ability to move at "lightning speed" (upwards of 220K mph, aka closer to Mach 300 and what NASA would call re-entry speeds).
DMC3 Dante in comparison has: taking multiple impalements from scythes in his introduction and walking around like it was barely an inconvenience; fighting Cerberus right out the gate, then later facing off versus Agni and Rudra simultaneously before he even got his DT; speed feats include slicing bullets in half; even more instant regeneration feats include his hand functioning properly after he punched a sword and split his fist in two; as an equivalency, Vergil recovered instantly from being cut in half by the waist in Mission 20, so Dante is similarly durable. Some of the flavor text for DA attacks feature things like Dante throwing a kick or spinning his sword at "supersonic speeds" (Mach 1), or at minimum he can spin his sword with the Prop Shredder attack at "propeller speeds", which is subsonic or less than 480mph.
1Dante is notably more durable and faster than his 3 iteration, but 3Dante is no slouch. So if the best Trish can do is "impale with sword, shoot some lightning, throw a motorcycle", then... uhhh... she could just ask Nevan how the "shooting lightning" thing went and not even bother. Seriously, Dante in 3 didn't even flinch to a motorcycle exploding directly behind him. It's not like Trish was tossing the older version of him a Super Saiyan Motorcycle in her debut. It still wouldn't hurt if she tried that on his younger self.
But maybe we can get further clarification here. Is Trish going against Pre-Mission 7 Dante, or Post-Mission 7 Dante? Considering even Lady held her own against Trish in the anime for some godawful reason, Trish is not that impressive in terms of power. I'll be generous and say she would fare better versus 3Dante if she won him over emotionally with the "looks like Dead Mom" thing, or if she immediately knows to either decapitate the guy or stab him straight through his actual heart rather than a generic chest impalement. And it'd have to be Pre-Mission 7. While Dante is weaponless and hungover, just to be safe.