vs. an actual army, on the European mainland:
1. 15th c. plate stops every weapon the Romans use short of scorpions. While this in itself may not be decisive, geared-up men at arms on foot in front of 15th c. infantry would be a tremendous force multiplier.
By contrast Roman armour never had to deal with two-handed warhammers or opponents whose training heavily emphasised wrestling and joint control against men similarly armed to themselves. I don't doubt for a moment that a knight on foot would be a better brawler than an average Roman ranker, so even dropping your shield and trying to drag him down is not guaranteed success.
These guys would be inside pike or halberd units.
2. Roman missiles might actually be dangerous to horses and lighter troops, though most would have to get pretty close.
Slingers might actually be dangerous at range too and would be a good way to draw European cavalry out: to try to run them down. Canny roman general could then devise some trap to neutralise European cav. Dunno.
3. Roman cavalry is in trouble. It can't stand up in a fight, it has smaller, slower horses, and Europeans would wreck it if it attempted to engage European infantry. This is presumably early Imperial army?
If it's something like the 5th-7th c. then sure, Roman cav might also be good but it's a completely different army we're talking about.
4. 15th c. has the first field guns appearing. Romans like tight formations moving forward at a modest pace to retain cohesion. They would be identical, as an opponent, to European infantry as far as gunners are concerned.
5. Gunpowder isn't universal, however. Europeans used more crossbows at the time. Longbows also, as mercenaries, potentially. So volleys mowing down ranks in smoke and flash might be more of a 16th/17th c. thing.
Same with reitars. They haven't come on to the scene very heavily yet.